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# ðŸ“™ Degenerate Elliptic Equations by Serge Levendorskii (auth.) â€” epub download

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This volume is the first to be devoted to the study of various properties of wide classes of degenerate elliptic operators of arbitrary order and pseudo-differential operators with multiple characteristics. Conditions for operators to be Fredholm in appropriate weighted Sobolev spaces are given, *a priori* estimates of solutions are derived, inequalities of the GÃ¥rding type are proved, and the principal term of the spectral asymptotics for self-adjoint operators is computed. A generalization of the classical Weyl formula is proposed. Some results are new, even for operators of the second order. In addition, an analogue of the Boutet de Monvel calculus is developed and the index is computed.

For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.

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For postgraduate and research mathematicians, physicists and engineers whose work involves the solution of partial differential equations.

- Series:
**Mathematics and Its Applications 258** - Author:
**Serge Levendorskii (auth.)** - Year:
**1993** - Publisher:
**Springer Netherlands** - Language:
**English** - ISBN:
**978-90-481-4282-8,978-94-017-1215-6**

- File size:
**18 179 050** - Format:
**pdf**

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This work presents a detailed study of linear abstract degenerate differential equations, using both the semigroups generated by multivalued (linear) operators and extensions of the operational method from Da Prato and Grisvard. The authors describe the r...

Semilinear elliptic equations play an important role in many areas of mathematics and its applications to physics and other sciences. This book presents a wealth of modern methods to solve such equations, including the systematic use of the Pohozaev ident...

This book provides a self-contained development of the regularity theory for solutions of fully nonlinear elliptic equations. Caffarelli and CabrÃ© offer a detailed presentation of all techniques needed to extend the classical Schauder and CalderÃ³n-Zygmund...

Birkhoff G. Numerical solution of elliptic equations (SIAM, 1972)(ISBN 0686242513)...

Main objective is the study of nonlinear boundary value problems for elliptic equations on unbounded domains. Solutions of these problems will be found as critical points of the corresponding variational functionals....

Semilinear elliptic equations play an important role in many of mathematics and its applications to physics and other sciences. This book presents a wealth of modern methods to solve such equations, including the systematic use of the Pohozaev identities...

This book provides a self-contained development of the regularity theory for solutions of fully nonlinear elliptic equations. Caffarelli and CabrÃƒÂ© offer a detailed presentation of all techniques needed to extend the classical Schauder and CalderÃƒÂ³n-Zygmu...

Non-linear elliptic partial differential equations are an important tool in the study of Riemannian metrics in differential geometry, in particular for problems concerning the conformal change of metrics in Riemannian geometry. In recent years the role pl...

Non-linear elliptic partial differential equations are an important tool in the study of Riemannian metrics in differential geometry, in particular for problems concerning the conformal change of metrics in Riemannian geometry. In recent years the role pl...