References. [4] R. Picard. Ein Randwertproblem in der Theorie kraftfreier Magnetfelder. Z. angew. Math. Phys., 27:169180, 1976.

Transcription

1 References [1] R. Picard. Zur Existenz des Dirichletschen Integrals für klassische Lösungen der Neumannschen Randwertaufgabe. Technical report, Ber. Ges. Math. Datenverarb., Bonn 66, 16 p., [2] R. Picard. Zur Theorie der zeitunabhängigen Maxwellschen Gleichungen mit der Randbedingung n( E) = n( H) = 0 im inhomogenen, anisotropen Medium. Bonner Math. Schriften. 65, 76 p., [3] R. Picard. Zur Lösungstheorie der zeitunabhängigen Maxwellschen Gleichungen mit der Randbedingung n B = n D = 0 in anisotropen, inhomogenen Medien. Manuscr. Math., 13:3752, [4] R. Picard. Ein Randwertproblem in der Theorie kraftfreier Magnetfelder. Z. angew. Math. Phys., 27:169180, [5] R. Picard. Zur Existenz des Wellenoperators bei Anfangsrandwertproblemen vom Maxwell-Typ. Math. Z., 156:175185, [6] R. Picard. Ein Randwertproblem für die zeitunabhängingen Maxwellschen Gleichungen mit der Randbedingung n εe = n µh = 0 in beschränkten Gebieten beliebigen Zusammenhangs. Appl. Anal., 6:207221, [7] R. Picard. Ein Kompaktheitsresultat in der Theorie der verallgemeinerten Maxwell-Gleichungen. Technical Report 120, SFB 72, Universität Bonn, [8] R. Picard. Ein Beitrag zur Theorie der harmonischen Dierentialformen. Z. angew. Math. Mech., 58:T389T391, [9] R. Picard. Zur Theorie der harmonischen Dierentialformen. Manuscr. Math., 27:3145, [10] P. Neittaanmäki and R. Picard. On the nite element method for time-harmonic acoustic boundary value problems. Comput. Math. Appl., 7:127138, [11] P. Neittaanmäki and R. Picard. Error estimates for the nite element approximation to a Maxwell-type boundary value problem. Numer. Funct. Anal. Optimization, 2:267285, [12] R. Picard. On convergence and error estimates for the horizontal line method applied to Maxwell's initial boundary problem in anisotropic, inhomogeneous media. Proc. R. Soc. Edinb., Sect. A, 86:5359,

2 [13] R. Picard. Some remarks on the horizontal line method. Math. Methods Appl. Sci., 2:471479, [14] R. Picard. Ein Kommentar zur Linienmethode bei der Maxwellschen Anfangsrandwertaufgabe. Z. Angew. Math. Mech., 60:T265 T267, [15] P. Neittaanmäki and R. Picard. On the convergence of the - nite element approximation of eigenfrequencies and eigenvectors to Maxwell's boundary value problem. Ann. Acad. Sci. Fenn., Ser. A I, 6:255271, [16] R. Picard. Randwertaufgaben in der verallgemeinerten Potentialtheorie. Math. Methods Appl. Sci., 3:218228, [17] R. Picard. On the boundary value problems of electro- and magnetostatics. Proc. R. Soc. Edinb., Sect. A, 92:165174, [18] R. Picard. Generalised eigensolution expansions in linear acoustics. In Applied mathematical analysis: vibration theory, Semin. Strathclyde, Shiva Math. Ser. 4, Shiva Publ., [19] R. Picard. Ein vereinheitlichter Zugang für eine Klasse von Wellenausbreitungsphänomenen. Technical Report 489, SFB 72, Universität Bonn, [20] R. Picard. Ein Hodge-Satz für Mannigfaltigkeiten mit nichtglattem Rand. Math. Methods Appl. Sci., 5:153161, [21] R. Picard. On the low frequency asymptotics in electromagnetic theory. J. Reine Angew. Math., 354:5073, [22] R. Picard. On a class of right denite selfadjoint multiparameter problems. In Multiparameter problems, Univ. Strathclyde Semin. appl. math. Anal., Shiva Math. Ser. 8, Shiva Publ., [23] R. Picard. The limit ω 0 in the theory of time-harmonic Maxwell equations. In Classical scattering, Univ. Strathclyde Semin. Appl. Math. Anal., Shiva Math. Ser. 9, Shiva Publ., [24] R. Picard. Entwicklung nach verallgemeinerten Eigenfunktionen des Maxwellschen Randwertproblems. ZAMM, 65:T336T338, [25] R. Picard. On the Time Asymptotic Behavior of Generalized Maxwell Fields on C 0,1 - Manifolds with Boundary. SFB 72- Preprint, 672, [26] R. Picard. An elementary proof for a compact imbedding result in generalized electromagnetic theory. Math. Z., 187:151164,

3 [27] R. Picard and S. Seidler. A remark on two Hilbert space scattering theory. Math. Ann., 269:411415, [28] R. Picard. On some special functions of mathematical physics and spectral theory. SFB 72-Vorlesungsreihe Nr. 20. Universität Bonn, [29] D. F. McGhee and R. Picard. Cordes' spectral representation theory for a two-parameter problem. I. Technical report, Vorlesungsr. SFB 72, Approximation Optimierung, Univ. Bonn 26, 78 p., [30] R. Picard. On a structural observation in generalized electromagnetic theory. J. Math. Anal. Appl., 110:247264, [31] R. Picard. Verallgemeinerte Eigenlösungs-Entwicklungen für das Maxwellsche Anfangs-Randwertproblem. (Generalized eigensolution expansions for Maxwell's initial-boundary problem). ZAMM, Z. Angew. Math. Mech., 65(5):T354T356, [32] P. Flaschel and R. Picard. Problems concerning the dynamic analysis of a Keynesian model with perfect foresight, volume 275 of Lecture Notes in Economics and Mathematical Systems, pages Springer-Verlag; Berlin, [33] D. F. McGhee and R. Picard. Cordes' spectral representation theory for a two-parameter problem. II. Technical report, Vorlesungsr. SFB 72, Approximation Optimierung, Univ. Bonn 30, 37 p., [34] R. Picard. Eigensolution expansions for generalized Maxwell elds on C 0,1 - manifolds with boundary. Appl. Anal., 21:261296, [35] R. Picard. On a class of operator matrices permitting equipartition of energy. Commun. Partial Dier. Equations, 11: , [36] R. Picard. The low frequency limit for time-harmonic acoustic waves. Math. Methods Appl. Sci., 8:436450, [37] R. Picard. Review: A Unied Theory of Nonlinear Operator and Evolution Equations with Applications: A New Approach to Nonlinear Partial Dierential Equations. by Mieczyslaw Altman. SIAM Review, 29(4):668670, [38] R. Picard and S. Seidler. On asymptotic equipartition of energy. J. Dier. Equations, 68:198209, [39] D. F. McGhee and R. Picard. Cordes' two-parameter spectral representation theory. Pitman Research Notes in Mathematics Series, 177. Harlow (UK): Longman Scientic & Technical; New York: John Wiley & Sons. 114 p.,

4 [40] A. Milani and R. Picard. Decomposition theorems and their application to nonlinear electro- and magneto-static boundary value problems. In Partial dierential equations and calculus of variations, Lect. Notes Math. 1357, Springer Verlag, [41] R. Picard. Some decomposition theorems and their application to nonlinear potential theory and Hodge theory. Math. Methods Appl. Sci., 12(1):3552, [42] R. Picard. Hilbert Space Approach to Some Classical Transforms. Pitman Research Notes in Mathematics Series Harlow: Longman Scientic & Technical. New York: John Wiley & Sons, Inc. 203 p., [43] P. Binding, P. J. Browne, and R.H. Picard. Corrigendum: Spectral properties of two parameter eigenvalue problems. II. Proc. R. Soc. Edinb., Sect. A, 115(1-2):8790, [44] R. Picard. A Hilbert space approach to distributions. Proc. R. Soc. Edinb., Sect. A, 115(3/4):275288, [45] R. Picard. Review: Nonlinear Evolution Equations and Applications. by Gheorghe Morosanu. SIAM Review, 32(1):180182, [46] P.A. Binding, P.J. Browne, Y.X. Huang, and R.H. Picard. On eigencurves of elliptic boundary value problems. Proc. R. Soc. Edinb., Sect. A, 118(1-2):161171, [47] R. Picard. Asymptotic partition of energy for abstract uniformly propagative systems. J. Dier. Equations, 89(1):110120, [48] R. Picard. Hilbert spaces of tempered distributions, Hermite expansions and sequence spaces. Proc. Edinb. Math. Soc., II. Ser., 34(2):271293, [49] K. McLeod and R. Picard. A compact imbedding result on Lipschitz manifolds. Math. Ann., 290(3):491508, [50] R. Picard. Static electromagnetic elds in monotone media. In Bojarski, Bogdan (ed.) et al., Partial dierential equations. Part 2. The 36th semester, held at the Stefan Banach International Mathematical Center in Warsaw, Poland, from September 17 to December 17, Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Cent. Publ. 27, Part 2, Banach Center, Warsaw, [51] R. Picard. Review: Singular Electromagnetic Fields and Sources by J. van Bladel. SIAM Review, 34(3):517518,

5 [52] R. Picard. Evolution equations as space-time operator equations. J. Math. Anal. Appl., 173(2):436458, [53] G.N. Triantafyllou, R. Picard, and A.A. Tsonis. Exploiting geometric signatures to accurately determine properties of attractors. Appl. Math. Lett., 7(6):1924, [54] A. Milani and R. Picard. Weak solution theory for Maxwell's equations in the semistatic limit case. J. Math. Anal. Appl., 191(1):77 100, [55] R. Picard and W.M. Zajaczkowski. Local existence of solutions of impedance initial-boundary value problem for nonlinear Maxwell equations. Math. Methods Appl. Sci., 18(3):169199, [56] R. Picard. Fourier-Analyse. In E. Erdfelder; R. Mausfeld; T. Meiser and G. Rudinger, editor, Handbuch Quantitative Methoden. Beltz Psychologische Verlags-Union, [57] R. Picard. An initial boundary value problem for Maxwell's equations in a parabolic limit case. J. Appl. Anal., 2(1):4978, [58] R. Picard. On a selfadjoint realization of curl and some of its applications. Ric. Mat., 47(1):153180, [59] R. Picard. On a selfadjoint realization of curl in exterior domains. Math. Z., 229(2):319338, [60] R. Picard. Evolution Equations as operator equations in lattices of Hilbert spaces. Glasnik Matematicki Series III, 35:111136, [61] R. Picard, N. Weck, and K.-J. Witsch. Time-harmonic Maxwell equations in the exterior of perfectly conducting, irregular obstacles. Analysis, 21(3):231263, [62] R. Picard, Norbert Weck, and Karl-Josef Witsch. Time-harmonic Maxwell equations in the exterior of perfectly conducting, irregular obstacles [63] Rainer Picard, Norbert Weck, and Karl-Josef Witsch. Timeharmonic Maxwell equations in the exterior of perfectly conducting, irregular obstacles. Analysis, 21:231263, [64] A. Milani and R. Picard. Evolution equations with nonlinear constitutive laws and memory eects. Dier. Integral Equ., 15(3): , [65] R. Picard (ed.), M. Reissig (ed.), and W. Zajaczkowski (ed.). Evolution equations. Propagation phenomena, global existence, inuence on non-linearities. Based on the workshop, Warsaw, Poland, 5

6 July 1July 7, Banach Center Publications. 60. Warsaw: Polish Academy of Sciences, Institute of Mathematics, 346 p., [66] R. Picard. Fourier analysis. In P. B. Baltes N. J. Smelser, editor, INTERNATIONAL ENCYCLOPEDIA OF SOCIAL & BEHAV- IORAL SCIENCES, pages Elsevier, [67] D. F. McGhee and R. Picard. Electrodynamics with nonlinear constitutive laws and memory eects. In P. Neittaanmäki, T. Rossi, K. Majava, O. Pironneau, S. Korotov, E. Oñate, J. Périaux and D. Knörzer, editor, Proceedings of the 4th European Congress on Computational Methods in Applied Sciences and Engineering, pages ECCOMAS, University of Jyväkylä Department of Mathematical Information Technology, [68] R. Picard. Linear thermo-elasticity in nonsmooth media. Math. Methods Appl. Sci., 28(18): , [69] Rainer Picard. Linear thermo-elasticity in nonsmooth media. Mathematical Methods in the Applied Sciences, 28: , [70] R. Picard. On a model of electromagnetic eld propagation in ferro-electric media. J. Math. Anal. Appl., 328(I):655675, [71] R. Picard. The Stokes system in the incompressible case revisited. Rencªawowicz, Joanna (ed.) et al., Parabolic and Navier- Stokes equations. Part 2. Proceedings of the confererence, Bedlewo, Poland, September 1017, Warsaw: Polish Academy of Sciences, Institute of Mathematics. Banach Center Publications 81, Pt. 2, (2008)., [72] R. Picard. A structural observation for linear material laws in classical mathematical physics. Mathematical Methods in the Applied Sciences, 32: , [73] R. Picard. On a Class of Linear Material Laws in Classical Mathematical Physics. Int. J. Pure Appl. Math., 50(2):283288, [74] Des F. McGhee and Rainer Picard. A note on anisotropic, inhomogeneous, poro-elastic media. Mathematical Methods in the Applied Sciences, 33:313322, [75] R. Picard. An Elementary Hilbert Space Approach to Evolutionary Partial Dierential Equations. Rend. Istit. Mat. Univ. Trieste, 42 suppl.:185204,

7 [76] R. Picard. On a comprehensive class of linear material laws in classical mathematical physics. Discrete Contin. Dyn. Syst., Ser. S, 3(2):339349, [77] A. Kalauch, R. Picard, S. Siegmund, S. Trostor, and M. Waurick. A Hilbert Space Perspective on Ordinary Dierential Equations with Memory Term. Technical report, TU Dresden, arxiv: v1, [78] D. F. McGhee and R. Picard. A Class of Evolutionary Operators and its Applications to Electroseismic Waves in anisotropic, Inhomogeneous Media. Operators and Matrices, 5(4):665678, [79] Rainer Picard. A Class of Evolutionary Problems with an Application to Acoustic Waves with Impedance Type Boundary Conditions. PAMM, 11(1):687688, [80] R. Picard and D. F. McGhee. Partial Dierential Equations: A unied Hilbert Space Approach, volume 55 of De Gruyter Expositions in Mathematics. De Gruyter. Berlin, New York. 518 p., [81] R. Picard. Mother Operators and their Descendants. Technical report, TU Dresden, arxiv: v2, [82] R. Picard. A Class of Evolutionary Problems with an Application to Acoustic Waves with Impedance Type Boundary Conditions. Proceedings of IWOTA 2010, Berlin. Birkhäuser. To appear