On Solvability of Parabolic Equations with Essentially Nonlinear Differential-Difference Operators

被引：0

作者：

Solonukha, O. V. ^{[1
]}

机构：

[1] Russian Acad Sci, Fed Res Ctr Comp Sci & Control, Moscow, Russia

来源：

SIBERIAN MATHEMATICAL JOURNAL | 2023年 / 64卷 / 05期

关键词：

nonlinear parabolic functional-differential equation; shift operator in the space variables; operator with semibounded variation; 517.9; BOUNDARY-VALUE PROBLEM;

D O I：

10.1134/S0037446623050154

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the first mixed boundary value problem for a nonlineardifferential-difference parabolic equation. We give some sufficient conditions for the nonlinear differential-differenceoperator to be radially continuous and coercive as well as has the property of (V,W)-semibounded variation(in this case we providethe algebraic condition of strong ellipticity for an essentiallynonlinear differential-difference operator).We also justify the existence theorems for a generalized solution.

引用

页码：1237 / 1254

页数：18

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