On absence of global solutions of quasilinear differential-convolutional inequalities

被引：3

作者：

Muravnik, A. B. ^{[1
,2
]}

机构：

[1] JSC Concern Sozvezdie, Voronezh, Russia

[2] RUDN Univ, Peoples Friendship Univ Russia, Nikolskii Math Inst, Moscow, Russia

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2020年 / 65卷 / 06期

基金：

俄罗斯基础研究基金会;

关键词：

V; Volpert; Quasilinear inequalities; convolutional terms; nonlocal terms; global solutions; nonexistence; DIRECTED POLYMER; KPZ; EXISTENCE; EQUATIONS; BURGERS;

D O I：

10.1080/17476933.2019.1639049

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

From a unique viewpoint, elliptic and parabolic second-order inequalities with quasilinear KPZ-type terms and nonlocal convolutional terms arising in the description of reaction-diffusion processes, neural networks, and nonlocal phase transitions are investigated. Sufficient conditions of the absence of their global solutions, i.e. necessary conditions of their global solvability, are found.

引用

页码：977 / 985

页数：9

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