Nonexistence of global weak solutions for evolution equations with fractional Laplacian
Abstract
In this paper, we are interested to analyze a nonlocal nonlinear parabolic equation with fractional Laplacian. We show that there are no nontrivial global weak solutions using the test function method.
- Publication:
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arXiv e-prints
- Pub Date:
- November 2019
- DOI:
- 10.48550/arXiv.1911.03203
- arXiv:
- arXiv:1911.03203
- Bibcode:
- 2019arXiv191103203F
- Keywords:
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- Mathematics - Analysis of PDEs