| Title:
|
Remarks on the qualitative behavior of the undamped Klein-Gordon equation (English) |
| Author:
|
Esquivel-Avila, Jorge A. |
| Language:
|
English |
| Journal:
|
Proceedings of Equadiff 14 |
| Volume:
|
Conference on Differential Equations and Their Applications, Bratislava, July 24-28, 2017 |
| Issue:
|
2017 |
| Year:
|
|
| Pages:
|
221-228 |
| . |
| Category:
|
math |
| . |
| Summary:
|
We present sufficient conditions on the initial data of an undamped Klein-Gordon equation in bounded domains with homogeneous Dirichlet boundary conditions to guarantee the blow up of weak solutions. Our methodology is extended to a class of evolution equations of second order in time. As an example, we consider a generalized Boussinesq equation. Our result is based on a careful analysis of a differential inequality. We compare our results with the ones in the literature. (English) |
| Keyword:
|
Klein-Gordon equation, Blow up, High energies, Abstract wave equation, Generalized Boussinesq equation |
| MSC:
|
35B35 |
| MSC:
|
35B40 |
| MSC:
|
35L70 |
| . |
| Date available:
|
2019-09-27T08:00:09Z |
| Last updated:
|
2019-09-27 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/703020 |
| . |
| Reference:
|
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| Reference:
|
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| Reference:
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| . |
