Untertitel:: Monographs in Mathematics
Verlag:: Springer Basel
Erschienen:: 03.03.2011
Seitenanzahl:: 642
ISBN:: 3034605374
EAN:: 9783034605373
Format:: eBook
Schutz:: Adobe-DRM
Downloadzeit:: Maximaler Downloadzeitraum: 24 Monate

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Elliptic Partial Differential Equations

Vitaly Volpert

The theory of elliptic partial differential equations has undergone an important development over the last two centuries. Together with electrostatics, heat and mass diffusion, hydrodynamics and many other applications, it has become one of the most richly enhanced fields of mathematics. This monograph undertakes a systematic presentation of the theory of general elliptic operators. The author discusses a priori estimates, normal solvability, the Fredholm property, the index of an elliptic operator, operators with a parameter, and nonlinear Fredholm operators. Particular attention is paid to elliptic problems in unbounded domains which have not yet been sufficiently treated in the literature and which require some special approaches. The book also contains an analysis of non-Fredholm operators and discrete operators as well as extensive historical and bibliographical comments. The selected topics and the author's level of discourse will make this book a most useful resource for researchers and graduate students working in the broad field of partial differential equations and applications.