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Sobolev Spaces: with Applications to Elliptic Partial Differential Equations: 342 (Grundlehren der mathematischen Wissenschaften) - Tapa blanda
Sinopsis
Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author's involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume first appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume "Sobolev Spaces", published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a significantly augmented list of references aim to create a broader and modern view of the area.
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In July 2009 the Senior Whitehead Prize of the London Mathematical Society was awarded to Professor Maz’ya. He has also received the Celcius Gold Medal from the Swedish Royal Society in Uppsala (2004), the Verdaguer Prize from the Academie de France (2003), and the Humboldt Research Prize (1999) in Germany. In 2002 he was elected to the Royal Swedish Academy of Sciences and in 2001 he became Corresponding Fellow of the Scottish National Academy. He was an invited speaker at the International Congress of Mathematicians (2002) and on the occasion of his 70th birthday (2008) two international conferences in Rome and Stockholm were organized. In 2009 five volumes dedicated to him were published in USA, Italy and Germany.
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Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author’s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume ?rst appeared in German as three booklets of Teubner-Texte zur Mathematik (1979,1980). In the Springer volume “Sobolev Spaces”, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a signi?cantly augmented list of references aim to create a broader and modern view of the area.
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Sobolev Spaces
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ISBN 10: 3662517299
ISBN 13: 9783662517291
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. New, expanded and revised edition of Sobolev Spaces, originally published in the Springer Series in Soviet Mathematics (1985) Is enhanced by many recent results New applications to linear and nonlinear partial differential equations are included New histori. Nº de ref. del artículo: 449138165
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Sobolev Spaces: with Applications to Elliptic Partial Differential Equations (Grundlehren der mathematischen Wissenschaften, 342)
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Sobolev Spaces
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Springer Berlin Heidelberg Aug 2016, 2016
ISBN 10: 3662517299
ISBN 13: 9783662517291
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author's involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume first appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume 'Sobolev Spaces', published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a significantly augmented list of references aim to create a broader and modern view of the area. 896 pp. Englisch. Nº de ref. del artículo: 9783662517291
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Sobolev Spaces : with Applications to Elliptic Partial Differential Equations
Publicado por
Springer Berlin Heidelberg, 2016
ISBN 10: 3662517299
ISBN 13: 9783662517291
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Taschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author's involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume first appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume 'Sobolev Spaces', published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a significantly augmented list of references aim to create a broader and modern view of the area. Nº de ref. del artículo: 9783662517291
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Sobolev Spaces
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ISBN 10: 3662517299
ISBN 13: 9783662517291
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Taschenbuch. Condición: Neu. Neuware -Sobolev spaces play an outstanding role in modern analysis, in particular, in the theory of partial differential equations and its applications in mathematical physics. They form an indispensable tool in approximation theory, spectral theory, differential geometry etc. The theory of these spaces is of interest in itself being a beautiful domain of mathematics. The present volume includes basics on Sobolev spaces, approximation and extension theorems, embedding and compactness theorems, their relations with isoperimetric and isocapacitary inequalities, capacities with applications to spectral theory of elliptic differential operators as well as pointwise inequalities for derivatives. The selection of topics is mainly influenced by the author¿s involvement in their study, a considerable part of the text is a report on his work in the field. Part of this volume ¿rst appeared in German as three booklets of Teubner-Texte zur Mathematik (1979, 1980). In the Springer volume ¿Sobolev Spaces¿, published in English in 1985, the material was expanded and revised. The present 2nd edition is enhanced by many recent results and it includes new applications to linear and nonlinear partial differential equations. New historical comments, five new chapters and a signi¿cantly augmented list of references aim to create a broader and modern view of the area.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 896 pp. Englisch. Nº de ref. del artículo: 9783662517291
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Sobolev Spaces: with Applications to Elliptic Partial Differential Equations (Grundlehren der mathematischen Wissenschaften, 342)
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