Global nonexistence for a quasilinear evolution equation with a generalized Lewis function
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Publication:558476
DOI10.4171/ZAA/1236zbMath1065.35163OpenAlexW1993792976MaRDI QIDQ558476
Publication date: 6 July 2005
Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/zaa/1236
Nonlinear parabolic equations (35K55) Degenerate parabolic equations (35K65) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) A priori estimates in context of PDEs (35B45)
Related Items (3)
Global existence and nonexistence of solution to a nonlinear wave equation ⋮ Blow-up and polynomial decay of solutions for a viscoelastic equation with a nonlinear source ⋮ Blow-up results for a nonlinear hyperbolic equation with Lewis function
Cites Work
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- Saddle points and instability of nonlinear hyperbolic equations
- The occurrence of collapse for quasilinear equations of parabolic and hyperbolic types
- Global nonexistence for abstract evolution equations with positive initial energy
- Global nonexistence theorems for a class of evolution equations with dissipation
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- The reaction-diffusion equation with Lewis function and critical Sobolev exponent
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