Open AccessEstimate and asymptotic of the solution for the p-Laplacian parabolic equation double non-linear type with damping
Author(s) -
Мерсаид Арипов,
Oybek Djabbarov
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1901/1/012030
Subject(s) - mathematics , mathematical analysis , type (biology) , nonlinear system , variable coefficient , variable (mathematics) , cauchy problem , parabolic partial differential equation , initial value problem , partial differential equation , physics , ecology , quantum mechanics , biology
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.