Blow-up and global existence of solutions to degenerate Kirchhoff equation with variable source
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Publication:6566707
DOI10.1007/S00009-024-02677-2zbMATH Open1542.35083MaRDI QIDQ6566707
Publication date: 3 July 2024
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Asymptotic behavior of solutions to PDEs (35B40) Initial-boundary value problems for second-order parabolic equations (35K20) Blow-up in context of PDEs (35B44) Quasilinear parabolic equations (35K59)
Cites Work
- Title not available (Why is that?)
- Title not available (Why is that?)
- Variable Lebesgue spaces. Foundations and harmonic analysis
- Nonlocal \(p\)-Laplace equations depending on the \(L^p\) norm of the gradient
- Finite-time blow-up and extinction rates of solutions to an initial Neumann problem involving the \(p(x,t)\)-Laplace operator and a non-local term
- Lebesgue and Sobolev spaces with variable exponents
- Extinction of solutions of parabolic equations with variable anisotropic nonlinearities
- Blow-up of solutions to parabolic equations with nonstandard growth conditions
- On the asymptotic behaviour of some nonlocal problems
- A new method to obtain decay rate estimates for dissipative systems with localized damping
- Threshold results for the existence of global and blow-up solutions to Kirchhoff equations with arbitrary initial energy
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Nonlinear diffusion equations driven by the \(p(\cdot)\)-Laplacian
- Upper bound estimate for the blow-up time of an evolution \(m\)-Laplace equation involving variable source and positive initial energy
- Singular properties of solutions for a parabolic equation with variable exponents and logarithmic source
- Classification of blow-up and global existence of solutions to an initial Neumann problem
- Potential well method for \(p ( x )\)-Laplacian equations with variable exponent sources
- Anisotropic parabolic equations with variable nonlinearity
- On a degenerate nonlocal parabolic equation with variable source
- A nonlinear diffusion problem with convection and anisotropic nonstandard growth conditions
- Remarks on a nonlocal problem involving the Dirichlet energy
- Existence and uniqueness results for a class of nonlocal elliptic and parabolic problems
- Asymptotic behaviour of some nonlocal diffusion problems
- Nonlocal Kirchhoff diffusion problems: local existence and blow-up of solutions
- Singular solutions in nonlinear parabolic equations with anisotropic nonstandard growth conditions
- GLOBAL EXISTENCE AND FINITE TIME BLOW-UP OF SOLUTIONS TO A NONLOCAL P-LAPLACE EQUATION
- A note on the vibrating string
- On the non-linear vibration problem of the elastic string
- On the spaces \(L^{p(x)}(\Omega)\) and \(W^{m,p(x)}(\Omega)\)
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