On the evolution equation with a dynamic Hardy-type potential

DOI10.1007/s00028-021-00675-5zbMath1470.35170OpenAlexW3128183679MaRDI QIDQ2044669

Jin Takahashi, Eiji Yanagida, Gyeongha Hwang, Jann-Long Chern

Publication date: 10 August 2021

Published in: Journal of Evolution Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00028-021-00675-5

zbMATH Keywords

existenceuniquenesssingularityHardy potentialmoving of the singular point

Mathematics Subject Classification ID

Initial value problems for second-order parabolic equations (35K15) Singularity in context of PDEs (35A21) Singular parabolic equations (35K67)

Related Items (1)

Probabilistic approach to the heat equation with a dynamic Hardy-type potential

Cites Work

• On the profile of solutions with time-dependent singularities for the heat equation
• Blowing up solutions for nonlinear parabolic systems with unequal elliptic operators
• A remark on a Harnack inequality for dengerate parabolic equations
• On a singular parabolic equation related to axially symmetric heat potentials
• Hardy inequalities and some critical elliptic and parabolic problems
• The Cauchy problem for the heat equation with a singular potential.
• The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
• Solutions with moving singularities for equations of porous medium type
• Large time behavior of solutions of the heat equation with inverse square potential
• On the well-posedness of a linear heat equation with a critical singular potential.
• Time-dependent singularities in the heat equation
• Solutions with moving singularities for a semilinear parabolic equation
• Null controllability for the heat equation with singular inverse-square potentials
• Optimal lower bound of the grow-up rate for a supercritical parabolic equation
• Time-dependent singularities in a semilinear parabolic equation with absorption
• The Heat Equation with a Singular Potential
• On nonexistence of Baras–Goldstein type for higher-order parabolic equations with singular potentials
• A new proof of de Giorgi's theorem concerning the regularity problem for elliptic differential equations
• On Harnack's theorem for elliptic differential equations
• Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
• SINGULAR SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR ABSORPTION AND HARDY POTENTIALS
• Functions with the Huygens property
• The radial heat equation with pole type data

This page was built for publication: On the evolution equation with a dynamic Hardy-type potential