Blow-up for a degenerate parabolic equation with a nonlocal source.

DOI10.1016/S0022-247X(03)00414-1zbMath1049.35114OpenAlexW1994726306MaRDI QIDQ1410256

Chunhong Xie, Youpeng Chen, Qi-lin Liu

Publication date: 14 October 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(03)00414-1

zbMATH Keywords

blow-up rateblow uplocal existence and uniqueness

Mathematics Subject Classification ID

Initial-boundary value problems for second-order parabolic equations (35K20) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Related Items

Blow up of solutions for a class of fourth order nonlinear pseudo-parabolic equation with a nonlocal source ⋮ Blowup for a degenerate and singular parabolic equation with nonlocal source and nonlocal boundary ⋮ Global existence and blowup for a parabolic equation with a non-local source and absorption ⋮ Global existence and blow-up for weakly coupled degenerate and singular parabolic equations with localized source ⋮ Unnamed Item ⋮ Blow-up for a degenerate parabolic equation with a nonlocal source ⋮ BLOWUP FOR A DEGENERATE AND SINGULAR PARABOLIC EQUATION WITH NON-LOCAL SOURCE AND ABSORPTION ⋮ Blow-up for a double degenerate quasilinear parabolic equation ⋮ Global existence and blowup for a degenerate and singular parabolic system with nonlocal source and absorptions ⋮ Blow-up for doubly degenerate parabolic system with nonlocal sources ⋮ Blow-up for a degenerate parabolic equation with nonlocal source and nonlocal boundary ⋮ Blow-up for a degenerate and singular parabolic equation with a nonlocal source ⋮ Singular reaction diffusion equations of porous medium type

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Degenerate parabolic equations
• A new approach to initial traces in nonlinear filtration
• Blow-up at the boundary for degenerate semilinear parabolic equations
• Some existence and nonexistence theorems for solutions of degenerate parabolic equations
• Uniform blow-up profiles and boundary behavior for diffusion equations with nonlocal nonlinear source
• Stabilization of solutions of a degenerate nonlinear diffusion problem
• Global Behavior for a Class of Nonlinear Evolution Equations
• Local Existence And Uniqueness of Solutions of Degenerate Parabolic Equations
• Nonlinear elliptic boundary-value problems in unbounded domains
• Global existence of solutions for degenerate semilinear parabolic problems
• The blow-up rate for a degenerate parabolic equation with a non-local source