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Degenerate elliptic equations

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 p...

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Autor principal: Levendorskii, Serge
Lenguaje:eng
Publicado: Springer 1993
Materias:
Acceso en línea:https://dx.doi.org/10.1007/978-94-017-1215-6
http://cds.cern.ch/record/1667178
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author Levendorskii, Serge
author_facet Levendorskii, Serge
author_sort Levendorskii, Serge
collection CERN
description 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 Gårding 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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institution Organización Europea para la Investigación Nuclear
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publishDate 1993
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spelling cern-16671782021-04-21T21:15:08Zdoi:10.1007/978-94-017-1215-6http://cds.cern.ch/record/1667178engLevendorskii, SergeDegenerate elliptic equationsMathematical Physics and MathematicsThis 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 Gårding 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.Springeroai:cds.cern.ch:16671781993
spellingShingle Mathematical Physics and Mathematics
Levendorskii, Serge
Degenerate elliptic equations
title Degenerate elliptic equations
title_full Degenerate elliptic equations
title_fullStr Degenerate elliptic equations
title_full_unstemmed Degenerate elliptic equations
title_short Degenerate elliptic equations
title_sort degenerate elliptic equations
topic Mathematical Physics and Mathematics
url https://dx.doi.org/10.1007/978-94-017-1215-6
http://cds.cern.ch/record/1667178
work_keys_str_mv AT levendorskiiserge degenerateellipticequations