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

被引：0

作者：

O. V. Solonukha

机构：

[1] Federal Research Center Computer Science and Control of the Russian Academy of Sciences,

来源：

Siberian Mathematical Journal | 2023年 / 64卷

关键词：

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

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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

引用

页码：1237 / 1254

页数：17

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