Semi-classical analysis for proof extinction-property in finite time of solutions for parabolic equations with homogeneous main part and degenerate absorption potential

  • K. Stiepanova Simon Kuznets Kharkiv National University of Economics (KhNUE) ave. Science, 9-à, Kharkiv, 61166, Ukraine
DOI: https://doi.org/10.26565/2221-5646-2016-84-04
Keywords: degenerate nonlinear parabolic equation, diffusion--absorption, extinction-property of solutions, semi-classical analysis

Abstract

We study the behavior of solutions of parabolic equation with double nonlinearity and a degenerate absorption term. The main topic of interest is the property of finite time extinction, i.e., the solution vanish after finite time.

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References

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Published
2016-12-12
Cited
How to Cite
Stiepanova, K. (2016). Semi-classical analysis for proof extinction-property in finite time of solutions for parabolic equations with homogeneous main part and degenerate absorption potential. Visnyk of V. N. Karazin Kharkiv National University. Ser. Mathematics, Applied Mathematics and Mechanics, 84, 31-45. https://doi.org/10.26565/2221-5646-2016-84-04
Issue
Vol. 84 (2016)
Section
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