Initial-boundary value problems for a reaction-diffusion equation
DOI10.1063/1.5118767zbMath1420.35128OpenAlexW2971114920WikidataQ127314799 ScholiaQ127314799MaRDI QIDQ5234052
Fangchi Yan, A. Alexandrou Himonas, Dionyssios Mantzavinos
Publication date: 9 September 2019
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/1808/31590
Reaction-diffusion equations (35K57) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Boundary value problems for nonlinear higher-order PDEs (35G30) Initial-boundary value problems for nonlinear higher-order PDEs (35G31)
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Cites Work
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- The initial-boundary-value problem for the 1D nonlinear Schrödinger equation on the half-line.
- Classification of type I and type II behaviors for a supercritical nonlinear heat equation
- On the structure of global solutions of the nonlinear heat equation in a ball
- Solutions for semilinear parabolic equations in \(L^ p\) and regularity of weak solutions of the Navier-Stokes system
- An asymptotic and numerical description of self-similar blow-up in quasilinear parabolic equations
- Nonhomogeneous boundary-value problems for one-dimensional nonlinear Schrödinger equations
- The ``good Boussinesq equation on the half-line
- Global solutions of higher-order semilinear parabolic equations in the supercritical range
- A non-homogeneous boundary-value problem for the Korteweg-de Vries equation in a quarter plane
- The Korteweg–de Vries equation on the half-line
- The nonlinear Schrödinger equation on the half-line
- The unified method: I. Nonlinearizable problems on the half-line
- The unified method: II. NLS on the half-line witht-periodic boundary conditions
- The unified method: III. Nonlinearizable problems on the interval
- Synthesis, as Opposed to Separation, of Variables
- Heat equation on a network using the Fokas method
- A Unified Approach to Boundary Value Problems
- Incomplete Self-Similar Blow-Up in a Semilinear Fourth-Order Reaction-Diffusion Equation
- Asymptotically self‐similar blow‐up of semilinear heat equations
- LPBounds of solutions of reaction-diffusion equations
- A unified transform method for solving linear and certain nonlinear PDEs
- Well-posed boundary value problems for linear evolution equations on a finite interval
- THE GENERALIZED KORTEWEG–DE VRIES EQUATION ON THE HALF LINE
- The nonlinear Schrödinger equation on the half-line
- The Initial-Boundary Value Problem for the Korteweg–de Vries Equation
- A transform method for linear evolution PDEs on a finite interval
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