LIBERO WebOPAC Catalogue Display (W561)

Catalogue Information
Field name	Details
Dewey Class	515
Title	Plane Waves and Spherical Means ([EBook]) : Applied to Partial Differential Equations / by Fritz John.
Author	John, Fritz , 1910-1994
Other name(s)	SpringerLink (Online service)
Publication	New York, NY : Springer , 1981.
Physical Details	VIII, 172 pages : online resource.
ISBN	9781461394532
Summary Note	The author would like to acknowledge his obligation to all his (;Olleagues and friends at the Institute of Mathematical Sciences of New York University for their stimulation and criticism which have contributed to the writing of this tract. The author also wishes to thank Aughtum S. Howard for permission to include results from her unpublished dissertation, Larkin Joyner for drawing the figures, Interscience Publishers for their cooperation and support, and particularly Lipman Bers, who suggested the publication in its present form. New Rochelle FRITZ JOHN September, 1955 [v] CONTENTS Introduction.1 CHAPTER I Decomposition of an Arbitrary Function into Plane Waves Explanation of notation. 7 The spherical mean of a function of a single coordinate. 7 9 Representation of a function by its plane integrals . CHAPTER II Tbe Initial Value Problem for Hyperbolic Homogeneous Equations with Constant Coefficients Hyperbolic equations. 15 Geometry of the normal surface for a strictly hyperbolic equation. 16 Solution of the Cauchy problem for a strictly hyperbolic equation . 20 Expression of the kernel by an integral over the normal surface. 23 The domain of dependence .29 The wave equation. 32 The initial value problem for hyperbolic equations with a normal surface having multiple points . 36 CHAPTER III The Fundamental Solution of a Linear Elliptic Differential Equation witL Analytic Coefficients Definition of a fundamental solution . 43 The Cauchy problem .45 Solution of the inhomogeneous equation with a plane wave function as right hand side . 49 The fundamental solution .:
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-1-4613-9453-2
Links to Related Works	Subject References: Analysis . Analysis (Mathematics) . Mathematical analysis . Mathematical Methods in Physics . Mathematics . Numerical and Computational Physics . Physics . Authors: John, Fritz 1910-1994 . John, Fritz, 1910-1994. . See Also: John, Fritz 1910- . Corporate Authors: SpringerLink (Online service) . Classification: 515 .

Catalogue Display

Plane Waves and Spherical Means: Applied to Partial Differential Equations

Reviews