Estimate and asymptotic of the solution for the p-Laplacian parabolic equation double non-linear type with damping
Мерсаид АриповDepartment of Applied Mathematics and Computer Analysis, National University of Uzbekistan, 4 University street, Tashkent, UzbekistanOybek DjabbarovDepartment of Applied Mathematics, Karshi State University, 17 Kuchabog street, Karshi, Uzbekistan
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Abstract
Abstract In this article, using the solution to the Hamilton-Jacobi equation, we allegedly investigate the estimate and asymptotic of solutions for a parabolic equation with double nonlinearity with damping with a variable coefficient. An estimate for the weak solution and the asymptotic of regular, unbounded and finite solutions of the stationary equation are obtained. The condition for spatial localization of the solution to the Cauchy problem is found.
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