Global solvability results for parabolic equations with \(p\)-Laplacian type diffusion
DOI10.1016/j.jmaa.2017.09.040zbMath1460.35206OpenAlexW2759262644MaRDI QIDQ1674437
P. L. Guidolin, J. Q. Chagas, Paulo R. Zingano
Publication date: 2 November 2017
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2017.09.040
Cauchy problemweak solutionscritical exponentsglobal solvability\(p\)-Laplacian evolution equationspatially dependent advection flux
Critical exponents in context of PDEs (35B33) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Initial value problems for second-order parabolic equations (35K15) Weak solutions to PDEs (35D30) Quasilinear parabolic equations with (p)-Laplacian (35K92) Quasilinear parabolic equations (35K59)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On decay estimates
- Degenerate parabolic equations
- Blowup in diffusion equations: A survey
- Asymptotic behavior of nonlinear diffusions
- Asymptotic behavior of the \(L^1\) norm of solutions to nonlinear parabolic equations
- A priori \(L^\infty\)-estimate and existence of solutions for some nonlinear parabolic equations
- The role of critical exponents in blow-up theorems: The sequel
- An asymptotic supnorm estimate for solutions of 1-D systems of convection-diffusion equations
- Existence and nonexistence of solutions for \(u_ t=\text{div}(|\nabla u|^{p-2}\nabla u)+f(\nabla u,u,x,t)\)
- The method of intrinsic scaling. A systematic approach to regularity for degenerate and singular PDEs
- On some energy inequalities and supnorm estimates for advection-diffusion equations in \(\mathbb R^n\)
- The Role of Critical Exponents in Blowup Theorems
- Some problems of the qualitative theory of non-linear degenerate second-order parabolic equations
- Blow-up for quasilinear heat equations with critical Fujita's exponents
This page was built for publication: Global solvability results for parabolic equations with \(p\)-Laplacian type diffusion