Publication Details:
Journal or Publication Title:
Armenian Journal of Mathematics=Հայկական մաթեմատիկական հանդես
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Title:
Nonlinear Diffusion Equation Involving aGeneralized Laplacian Operator
Creator:
Contributor(s):
Գլխ. խմբ.՝ Անրի Ներսեսյան ; Պատ. խմբ.՝ Լինդա Խաչատրյան ; Խմբ. տեղակալ՝ Ռաֆայել Բարխուդարյան
Subject:
Uncontrolled Keywords:
p(b(u))-Laplacian-Like Operator ; Weak Solutions ; Parabolic Problem
Coverage:
Abstract:
This investigation focuses on identifying weaksolutions for a nonlinear diffusion equation that includesp(u)-Laplacian-like operators. By imposing specific conditions onthe initial value, we derive our result using a time-discrete ap-proach in conjunction with a singular perturbation technique andSchauder’s fixed-point theorem.
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General note:
Electronic Open Access Publication of the National Academy of Sciences of Armenia