Note on a higher order pseudo‐parabolic equation with variable exponents
Copyright policy )Note on a higher order pseudo‐parabolic equation with variable exponents
In this paper, we study a higher order pseudo‐parabolic equation involving ‐Laplacian with the Navier boundary condition. We use the energy method, the Sobolev embedding inequalities and the Galerkin's approximation to show the classification of singular solutions, including the existence and nonexistence of global, blow‐up, and extinction solutions. Extinction rates and time of extinction solutions, blow‐up time of blow‐up solutions, and decay estimates of global solutions are discussed.
- Wuhan University of Engineering Science China (People's Republic of)
- China University of Petroleum, East China China (People's Republic of)
- Qingdao University China (People's Republic of)
global existence, Blow-up in context of PDEs, extinction, Asymptotic behavior of solutions to PDEs, Quasilinear parabolic equations with \(p\)-Laplacian, Initial-boundary value problems for higher-order parabolic equations, Ultraparabolic equations, pseudoparabolic equations, etc., asymptotic estimate, fourth-order pseudo-parabolic equation, blow-up
global existence, Blow-up in context of PDEs, extinction, Asymptotic behavior of solutions to PDEs, Quasilinear parabolic equations with \(p\)-Laplacian, Initial-boundary value problems for higher-order parabolic equations, Ultraparabolic equations, pseudoparabolic equations, etc., asymptotic estimate, fourth-order pseudo-parabolic equation, blow-up
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