A \(p\)-Laplace equation with logarithmic nonlinearity at high initial energy level
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Publication:2334760
DOI10.1007/s10440-018-00230-4zbMath1423.35152OpenAlexW2903667515MaRDI QIDQ2334760
Yuzhu Han, Chunling Cao, Peng Sun
Publication date: 7 November 2019
Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10440-018-00230-4
Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44)
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Cites Work
- Global existence, blow up and extinction for a class of thin-film equation
- Global existence and finite time blow-up for a class of semilinear pseudo-parabolic equations
- Global solution and blow-up of a semilinear heat equation with logarithmic nonlinearity
- Multiple solutions to logarithmic Schrödinger equations with periodic potential
- Degenerate parabolic equations
- Finite time blow-up and global solutions for semilinear parabolic equations with initial data at high energy level.
- Functional analysis, Sobolev spaces and partial differential equations
- Saddle points and instability of nonlinear hyperbolic equations
- Nonexistence of global weak solutions for classes of nonlinear wave and parabolic equations
- Asymptotic stability and blowing up of solutions of some nonlinear equations
- On potential wells and vacuum isolating of solutions for semilinear wave equations
- Nonlinear diffusions and optimal constants in Sobolev type inequalities: Asymptotic behaviour of equations involving the \(p\)-Laplacian
- A class of fourth-order parabolic equation with arbitrary initial energy
- Initial boundary value problem for a class of semilinear pseudo-parabolic equations with logarithmic nonlinearity
- Global solution and blow-up for a class of pseudo \(p\)-Laplacian evolution equations with logarithmic nonlinearity
- Global solution and blow-up for a class of \(p\)-Laplacian evolution equations with logarithmic nonlinearity
- Global solutions and finite time blow up for damped semilinear wave equations
- On global solution of nonlinear hyperbolic equations
- Existence and nonexistence of global solutions for nonlinear parabolic equations
- Asymptotic behavior of blowup solutions of a parabolic equation with the \(p\)-Laplacian