High energy blow up for two-dimensional generalized exponential-type Boussinesq equation

被引：1

作者：

Guo, Siyan ^{[1
]}

Yang, Yanbing ^{[1
]}

机构：

[1] Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2020年 / 197卷

基金：

中国国家自然科学基金;

关键词：

Generalized Boussinesq equation; Exponential nonlinearity; Finite time blow up; Arbitrarily positive initial energy; POTENTIAL WELL METHOD; GLOBAL EXISTENCE; CAUCHY-PROBLEM; NONEXISTENCE; SCATTERING;

D O I：

10.1016/j.na.2020.111864

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A finite time blow up result for the Cauchy problem of two-dimensional generalized Boussinesq-type equation with exponential type source term is considered in this paper. Based on an adapted concave method, we derive a sufficient condition on initial data leading to the arbitrarily positive initial energy finite time blow up. (C) 2020 Elsevier Ltd. All rights reserved.

引用

页数：10

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