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The analysis of linear partial differential operators. II, Differential operators with constant coefficients

Autor: Lars Hörmander
Editora: Berlin : Springer, 2005.
Séries: Classics in mathematics.
Edição/Formato   e-book : Documento : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:
Vol. I of Lars Hormander's 4-volume treatise was an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators. The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One  Ler mais...
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Detalhes

Gênero/Forma: Electronic books
Formato Físico Adicional: Printed edition:
Tipo de Material: Documento, Recurso Internet
Tipo de Documento: Recurso Internet, Arquivo de Computador
Todos os Autores / Contribuintes: Lars Hörmander
ISBN: 3540269649 9783540269649 9783540225164 3540225161
Número OCLC: 63147600
Notas: "Reprint of the 1983 Edition."
Descrição: 1 online resource.
Título da Série: Classics in mathematics.
Outros Títulos: Differential operators with constant coefficients
Responsabilidade: Lars Hörmander.

Resumo:

Vol. I of Lars Hormander's 4-volume treatise was an exposition of the theory of distributions and Fourier analysis preparing for the study of linear partial differential operators. The present Vol. II is mainly devoted to operators with constant coefficients. An analysis of the existence and regularity of (fundamental) solutions in the first two chapters is followed by a thorough study of the Cauchy problem. One chapter is devoted to the spectral theory of short range perturbations of operators with constant coefficients, and another presents Fourier-Laplace representations of solutions of homogeneous differential equations with constant coefficients. The last chapter is a study of the closely related subject of convolution operators.

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