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Global gradient estimates for solutions of parabolic equations with nonstandard growth

open access: yes
We study how the smoothness of the initial datum and the free term affect the global regularity properties of solutions to the Dirichlet problem for the class of parabolic equations of $p(x,t)$-Laplace type %with nonlinear sources depending on the ...
Arora, Rakesh, Shmarev, Sergey
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A New Regularization Method for a Class of Ill-Posed Cauchy Problems

Sarajevo Journal of Mathematics
In this paper, the Cauchy problem for the elliptic equation is investigated. We use a quasireversibility method to solve it and present convergence estimates under different assumptions for the exact solution.
N. Tuan, D. D. Trong, P. H. Quan
semanticscholar   +1 more source

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