## Communicated by W. Wendland This contribution deals with measure-valued solutions to two types of nonlinear partial differential equations for which, in general, the results on the existence of classical or weak solutions fail. These are the potential equation for transonic flow and the associa
Biow-up of solutions of some nonlinear hyperbolic equations
โ Scribed by Tosio Kato
- Publisher
- John Wiley and Sons
- Year
- 1980
- Tongue
- English
- Weight
- 200 KB
- Volume
- 33
- Category
- Article
- ISSN
- 0010-3640
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider Dirichlet boundary value problems for a class of nonlinear ordinary differential equations motivated by the study of radial solutions of equations which are perturbations of the p -Laplacian.
In this paper the non-existence of global solutions of two fourth-order hyperbolic equations with dynamic boundary conditions is considered. The method of proof makes use of the generalized convexity method due to LADYZHENSKAYA and KALANTAROV [4].
The compactly supported orthogonal wavelet bases developed by Daubechies are used in the Galerkin scheme for a class of one-dimensional ยฎrst-order quasilinear conservation equations with perturbed dissipative terms. We ยฎrst develop a recursive algorithm to obtain the wavelet coecients of a dissipati