Published April 30, 2000 | Version v1
Journal article Metadata-only

Second-order hyperbolic equations with strong characteristic degeneracy at the initial hypersurface

Creators

  • 1. State Academy of Consumer Services, Moscow Region (Russian Federation)

Description

In place of the Cauchy problem, a problem without initial data but with constraints on the admissible growth of the solution as t→0 and as |x|→∞ is discussed. The unique solubility in certain Sobolev-type weighted spaces is proved. The smoothness properties of generalized solutions are studied

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2000v191n04ABEH000469

Additional details

Identifiers

DOI
10.1070/SM2000v191n04ABEH000469;

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
191
Journal Issue
4
Journal Page Range
p. 503-527
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40073342
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
CAUCHY PROBLEM; EQUATIONS; MATHEMATICAL SOLUTIONS; MATHEMATICAL SPACE; ROUGHNESS
Descriptors DEC
SPACE; SURFACE PROPERTIES