We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
L-Abschätzungen und klassische Lösungen für nichtlineare Wellengleichungen II.
- Authors
Pecher, Hartmut
- Abstract
This paper deals with the global classical solvability of the Cauchy problem for nonlinear wave equations of higher order of the following form where Δ denotes the Laplacian, ζ a real constant, m a positive integer, and f the nonlinearity. Using results of the first part [6] concerning estimations for the kernel of the associated integral equation a priori estimates for certain L-norms of the local regular solution are established for higher space dimensions and for a class of nonlinearities satisfying certain growth and positivity conditions. This leads to completely regular solutions by means of the Sobolev embedding theorems.
- Publication
Manuscripta Mathematica, 1977, Vol 20, Issue 3, p227
- ISSN
0025-2611
- Publication type
Article
- DOI
10.1007/BF01358638