Asymptotic behavior of solutions to the logarithmic diffusion equation with a linear source
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Publication:1784170
DOI10.1007/s00208-017-1604-5zbMath1460.35041OpenAlexW2766051318MaRDI QIDQ1784170
Masahiko Shimojo, Peter Takáč, Eiji Yanagida
Publication date: 26 September 2018
Published in: Mathematische Annalen (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00208-017-1604-5
Asymptotic behavior of solutions to PDEs (35B40) Degenerate parabolic equations (35K65) Initial value problems for second-order parabolic equations (35K15) Traveling wave solutions (35C07) Semilinear parabolic equations (35K58) Flows related to mean curvature (53E10)
Related Items (2)
Classical solutions to the one‐dimensional logarithmic diffusion equation with nonlinear Robin boundary conditions ⋮ Spreading and Extinction of Solutions to the Logarithmic Diffusion Equation with a Logistic Reaction
Cites Work
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- Travelling waves in a convection-diffusion equation
- Existence of solution of the logarithmic diffusion equation with bounded above Gauss curvature
- Dynamics near extinction time of a singular diffusion equation
- A fast diffusion equation which generates a monotone local semiflow. I: Local existence and uniqueness
- Degenerate diffusions. Initial value problems and local regularity theory
- Nonexistence of solutions for nonlinear heat equations of fast-diffusion type
- A well posed problem in singular Fickian diffusion
- Convergence and sharp thresholds for propagation in nonlinear diffusion problems
- A fast diffusion equation which generates a monotone local semiflow. II: Global existence and asymptotic behavior
- The central limit theorem for Carleman's equation
- Behaviour of solutions of a singular diffusion equation near the extinction time.
- Extinction profile of the logarithmic diffusion equation
- Finite-time blow-down in the evolution of point masses by planar logarithmic diffusion
- Large-time behaviour of the higher-dimensional logarithmic diffusion equation
- Existence and convergence to a propagating terrace in one-dimensional reaction-diffusion equations
- The zero set of a solution of a parabolic equation.
- Initial value problems for the Carleman equation
- Convergence of semigroups with an application to the carleman equation
- On the cauchy problem for a very fast diffusion equation
- On a free boundary problem for the curvature flow with driving force
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