Time asymptotic behavior of the solution to a quasilinear parabolic equation |
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| Authors: | A V Gasnikov |
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| Institution: | (1) Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russia |
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| Abstract: | The time asymptotic behavior of the solution to the Cauchy problem for a quasilinear parabolic equation is analyzed. Such problems are encountered, for example, in gas dynamics and transport flow simulation. A.M. Il’in and O.A. Oleinik’s well-known results are extended to a wider class of equations in which the time derivative of the unknown function is multiplied by a fixed-sign function of the former. The results have found applications in mathematical economics. |
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| Keywords: | quasilinear parabolic equation Henkin-Polterovich model with decreasing capacities wave solution traveling wave |
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