Access the full text.
Sign up today, get DeepDyve free for 14 days.
H. Ishii (1977)
Asymptotic stability and blowing up of solutions of some nonlinear equationsJournal of Differential Equations, 26
M. Tsutsumi (1972)
Existence and Nonexistence of Global Solutions for Nonlinear Parabolic EquationsPublications of The Research Institute for Mathematical Sciences, 8
O. Ladyzhenskai︠a︡, V. Solonnikov, N. Uralʹt︠s︡eva (1995)
Linear and Quasi-linear Equations of Parabolic Type
P. Drábek, S. Pohozaev (1997)
Positive solutions for the p-Laplacian: application of the fibrering methodProceedings of the Royal Society of Edinburgh: Section A Mathematics, 127
A. Fujii, M. Ohta (1996)
Asymptotic behavior of blow-up solutions of a parabolic equation with p $p$ -LaplacianPubl. RIMS Kyoto Univ., 32
Hua Chen, Peng Luo, Gongwei Liu (2015)
Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearityJournal of Mathematical Analysis and Applications, 422
(1996)
Asymptotic behavior of blow-up solutions of a parabolic equation with p-Laplacian
H. Levine, L. Payne (1976)
Nonexistence of global weak solutions for classes of nonlinear wave and parabolic equationsJournal of Mathematical Analysis and Applications, 55
L. Payne, L. Payne, D. Sattinger, D. Sattinger (1975)
Saddle points and instability of nonlinear hyperbolic equationsIsrael Journal of Mathematics, 22
P. Martinez (1999)
A new method to obtain decay rate estimates for dissipative systemsESAIM: Control, Optimisation and Calculus of Variations, 4
J. Esquivel-Avila (2003)
The dynamics of a nonlinear wave equationJournal of Mathematical Analysis and Applications, 279
J. Lions (2017)
Quelques méthodes de résolution de problèmes aux limites non linéaires
(2002)
Asymptotic behaviour of nonlinear diffusion equations
The main goal of this work is to study an initial boundary value problem for a quasilinear parabolic equation with logarithmic source term. By using the potential well method and a logarithmic Sobolev inequality, we obtain results of existence or nonexistence of global weak solutions. In addition, we also provided sufficient conditions for the large time decay of global weak solutions and for the finite time blow-up of weak solutions.
Acta Applicandae Mathematicae – Springer Journals
Published: Jun 5, 2017
Read and print from thousands of top scholarly journals.
Already have an account? Log in
Bookmark this article. You can see your Bookmarks on your DeepDyve Library.
To save an article, log in first, or sign up for a DeepDyve account if you don’t already have one.
Copy and paste the desired citation format or use the link below to download a file formatted for EndNote
Access the full text.
Sign up today, get DeepDyve free for 14 days.
All DeepDyve websites use cookies to improve your online experience. They were placed on your computer when you launched this website. You can change your cookie settings through your browser.