The analysis of linear partial differential operators
Subtitle: Differential operators with constant coefficients
By: Lars Hörmander
Series: Classics in mathematics
Publisher: Springer
Published: 2005
Place of publication: Berlin
Language: eng
Format: [electronic resource] /
ISBN-13: 9783540269649; 9781280346699
Subjects: Differential Equations; Partial Differential equations; Partial differential operators; Partial; MATHEMATICS
Other titles: Differential operators with constant coefficients
Description: 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.
Notes: "Reprint of the 1983 Edition."

Includes bibliographical references and index.