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JOURNALS // Applied Mathematics & Physics // Archive

Applied Mathematics & Physics, 2023, Volume 55, Issue 3, Page 273 (Mi pmf390)

MATHEMATICS

Bilateral estimates of solutions with blow up regime of the nonlinear heat equation with a quadratic source

Yu. P. Virchenkoa, V. V. Chentsovab

a Belgorod State Technological University named after V. G. Shukhov
b Belgorod National Research University

Abstract: Solutions $u(x, t) \geq 0, x $in$; R, t \geq 0$ with compact support of one-dimensional quasilinear heat transfer equation degenerated at u(x, t) = 0 is studied. The equation has the linear on

Keywords: approximation of solutions, compact support, nonlinear equation of heat transfer, blow-up regime, etalon solution.

Received: 30.09.2023
Accepted: 30.09.2023

DOI: 10.52575/2687-0959-2023-55-3-273-284



© Steklov Math. Inst. of RAS, 2024