Blow-up of solutions of a class of strongly non-linear dissipative wave equations of Sobolev type with sources

М. О. Корпусов, A. G. Sveshnikov

Type: Article

Publication Date: 2005-08-31

Citations: 12

DOI: https://doi.org/10.1070/im2005v069n04abeh001659

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Izvestiya Mathematics - View

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+	Periodic boundary value problem for nonlinear Sobolev-type equations	2010	Elena I. Kaikina Pavel I. Naumkin I. A. Shishmarev
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+	Exponential growth of solution of a strongly nonlinear generalized Boussinesq equation	2014	Hongwei Zhang Jun Lu Qingying Hu
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+	On a class of nonlinear heat equations with viscoelastic term	2016	Le Xuan Truong Nguyễn Văn Ý
+	Global existence, asymptotic stability and blow‐up of solutions for the generalized Boussinesq equation with nonlinear boundary condition	2019	Hongwei Zhang Qingying Hu Gongwei Liu
+	Blow-up of Solutions of Nonclassical Nonlocal Nonlinear Model Equations	2019	М. О. Корпусов
+	Semilinear Equations in Banach Spaces with Lower Fractional Derivatives	2019	М. В. Плеханова Guzel D. Baybulatova
+	Asymptotic Stability and Blow-up of Solutions for the Generalized Boussinesq Equation with Nonlinear Boundary Condition	2018	Dang Jian Qingying Hu Hongwei Zhang
+	Exponential growth with Lp -norm of solutions for nonlinear heat equations with viscoelastic term	2015	Le Xuan Truong Nguyễn Văn Ý

Works Cited by This (16)

Action	Title	Year	Authors
+ PDF Chat	On some nonlinear dispersive equations in several space variables	1990	Jerome A. Goldstein Ryuji Kajikiya Shinnosuke Ôharu
+	On a New Problem of Mathematical Physics	2006	С. Л. Соболев
+	The convergence of fully discrete Galerkin approximations of the Rosenau equation	1999	H. Y. Lee Mi Ray Ohm Jungkyun Shin
+	On the general theory of operator semigroups	1994	G. A. Sviridyuk
+	Global Existence and Nonexistence Theorems for Quasilinear Evolution Equations of Formally Parabolic Type	1998	Howard A. Levine Sang Ro Park James Serrin
+	Blow-up of solutions of a class of strongly non-linear equations of Sobolev type	2004	М. О. Корпусов
+	Some nonexistence and instability theorems for solutions of formally parabolic equations of the form Put=−Au+ℱ(u)	1973	Howard A. Levine
+	On the decay of solutions of the generalized Benjamin-Bona-Mahony equation	1989	John Albert
+	Global existence for the Benjamin-Bona-Mahony equation in arbitrary dimensions	1985	Joel D. Avrin Jerome A. Goldstein
+	Long-time behaviour of solution for rosenau-burgers equation(II)	1998	Ming Mei