Email this article On a certain nonlinear nonlocal Sobolev-type wave equation
- Authors: Aristov A.I.1
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Affiliations:
- “Mathematical Notes,” Steklov Mathematical Institute
- Issue: Vol 101, No 1-2 (2017)
- Pages: 17-30
- Section: Volume 101, Number 1, January, 2017
- URL: https://journals.rcsi.science/0001-4346/article/view/149928
- DOI: https://doi.org/10.1134/S0001434617010023
- ID: 149928
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Abstract
The initial boundary-value problem for the nonlinear nonlocal Sobolev equation is studied. Sufficient conditions for local and for global (with respect to time) solvability are obtained. For the case of local (not global) solvability, upper and lower bounds for the lifespan of the solution are obtained in the form of explicit and implicit formulas.
About the authors
A. I. Aristov
“Mathematical Notes,” Steklov Mathematical Institute
Author for correspondence.
Email: ai_aristov@mail.ru
Russian Federation, Moscow
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