This paper studies the existence and the non-existence of global solutions to the initial boundary value problems for the non-linear wave equation The paper proves that every above-mentioned problem has a unique global solution under rather mild con"ning conditions, and arrives at some su$cient con
Conditions for global non-existence and localization of solutions of the cauchy problem for a class of non-linear parabolic equations
β Scribed by V.A. Galaktionov
- Publisher
- Elsevier Science
- Year
- 1983
- Weight
- 584 KB
- Volume
- 23
- Category
- Article
- ISSN
- 0041-5553
No coin nor oath required. For personal study only.
β¦ Synopsis
The proofs of Theorems 2 and 3 are very laborious and must be omitted.
We merely mention that the proof of Theorem 2 is based on the definition of regular mapping, while the proof of Theorem 3 is based on Lemmas 6,7,17,18,and 19.
π SIMILAR VOLUMES
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