Transient behavior of solutions to a class of nonlinear boundary value problems
From MaRDI portal
Publication:3015258
DOI10.1090/S0033-569X-2011-01204-5zbMath1221.35062MaRDI QIDQ3015258
Kurt Bryan, Michael S. Vogelius
Publication date: 11 July 2011
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/journals/qam/2011-69-02/S0033-569X-2011-01204-5/home.html
Asymptotic behavior of solutions to PDEs (35B40) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Blow-up in context of PDEs (35B44)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Recent results on blow-up and quenching for nonlinear Volterra equations
- Blowup in diffusion equations: A survey
- Complete blow-up and incomplete quenching for the heat equation with a nonlinear boundary condition
- Blowup rate for heat equation in Lipschitz domains with nonlinear heat source terms on the boundary
- Blow-up estimates for system of heat equations coupled via nonlinear boundary flux
- Some nonexistence and instability theorems for solutions of formally parabolic equations of the form \(Pu_t=-Au+ {\mathfrak F} (u)\)
- Nonexistence theorems for the heat equation with nonlinear boundary conditions and for the porous medium equation backward in time
- Blow-up sets for linear diffusion equations in one dimension
- Blow-up on the boundary for the heat equation
- Asymptotic behavior for a reaction-diffusion equation with inner absorption and boundary flux
- Complete and energy blow-up in parabolic problems with nonlinear boundary conditions
- Global existence and nonexistence for a strongly coupled parabolic system with nonlinear boundary conditions
- Global existence and blow-up of solutions for parabolic systems involving cross-diffusion and nonlinear boundary conditions
- Precise bounds for finite time blowup of solutions to very general one-space-dimensional nonlinear Neumann problems
- Localization on the Boundary of Blow-up for Reaction–Diffusion Equations with Nonlinear Boundary Conditions
- On Existence and Nonexistence in the Large of Solutions of Parabolic Differential Equations with a Nonlinear Boundary Condition
- Nondegeneracy of blowup for semilinear heat equations
- Asymptotically self‐similar blow‐up of semilinear heat equations
- A Uniqueness Result Concerning the Identification of a Collection of Cracks from Finitely Many Electrostatic Boundary Measurements
- The blow-up rate for a system of heat equations with nonlinear boundary conditions
- Global Existence and Blow-Up Problems for Quasilinear Parabolic Equations with Nonlinear Boundary Conditions
- The Profile Near Blowup Time for Solution of the Heat Equation with a Nonlinear Boundary Condition
- Singular solutions to a nonlinear elliptic boundary value problem originating from corrosion modeling
- On the blow-up rate for the heat equation with a nonlinear boundary condition
- ON UNIQUENESS FOR THE INVERSE SCATTERING PROBLEM AT FIXED ENERGY FOR A METRIC ON
- The blow‐up rate for the heat equation with a non‐linear boundary condition
- Blow-up behavior of Planar Harmonic Functions Satisfying a Certain Exponential Neumann Boundary Condition
- Nonlinear balance for reaction-diffusion equations under nonlinear boundary conditions: Dissipativity and blow-up