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

著者: Lars Hörmander
出版商: Berlin : Springer, 2005.
丛书: Classics in mathematics.
版本/格式:   电子图书 : 文献 : 英语查看所有的版本和格式
数据库:WorldCat
提要:
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  再读一些...
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类型/形式: Electronic books
附加的形体格式: Printed edition:
材料类型: 文献, 互联网资源
文件类型: 互联网资源, 计算机文档
所有的著者/提供者: Lars Hörmander
ISBN: 3540269649 9783540269649 9783540225164 3540225161
OCLC号码: 63147600
注意: "Reprint of the 1983 Edition."
描述: 1 online resource.
丛书名: Classics in mathematics.
其他题名: Differential operators with constant coefficients
责任: Lars Hörmander.

摘要:

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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