An approach without using Hardy inequality for the linear heat equation with singular potential
From MaRDI portal
Publication:2950149
DOI10.1142/S0219199715500418zbMath1322.35047arXiv1307.6464OpenAlexW2039929675MaRDI QIDQ2950149
Lucas C. F. Ferreira, Cláudia Aline A. S. Mesquita
Publication date: 8 October 2015
Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.6464
Smoothness and regularity of solutions to PDEs (35B65) Reaction-diffusion equations (35K57) Heat equation (35K05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Positive solutions to PDEs (35B09) Singular parabolic equations (35K67) Symmetries, invariants, etc. in context of PDEs (35B06) Self-similar solutions to PDEs (35C06)
Related Items
The Hardy inequality and large time behaviour of the heat equation on \(\mathbb{R}^{N - k} \times ( 0 , \infty )^k\) ⋮ A Fourier analysis approach to elliptic equations with critical potentials and nonlinear derivative terms ⋮ The heat equation with strongly singular potentials ⋮ On singular elliptic boundary value problems via a harmonic analysis approach
Cites Work
- Optimal results for parabolic problems arising in some physical models with critical growth in the gradient respect to a Hardy potential
- Kolmogorov equations perturbed by an inverse-square potential
- Global regular and singular solutions for a model of gravitating particles
- The semiflow of a reaction diffusion equation with a singular potential
- Strong regularizing effect of a gradient term in the heat equation with the Hardy potential
- Self-similar solutions and large time asymptotics for the dissipative quasi-geostrophic equation
- Stochastic cascades and 3-dimensional Navier-Stokes equations
- Smooth or singular solutions to the Navier-Stokes system?
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term
- On Schrödinger operators with multipolar inverse-square potentials
- On bifurcation and uniqueness results for some semilinear elliptic equations involving a singular potential
- Self-similar solutions of a semilinear parabolic equation with inverse-square potential
- Lipschitz Stability in Inverse Source Problems for Singular Parabolic Equations
- Linear parabolic equations with strong singular potentials
- Solutions to some nonlinear parabolic equations in pseudomeasure spaces
- On nonexistence of Baras–Goldstein type for higher-order parabolic equations with singular potentials
- On Schroedinger operators with multisingular inverse-square anisotropic potentials
- Influence of the Hardy potential in a semilinear heat equation
- Existence and nonexistence of energy solutions for linear elliptic equations involving Hardy-type potentials
- Results on Parabolic Equations Related to Some Caffarelli--Kohn--Nirenberg Inequalities
- Nonlinear Schrödinger equations with Hardy potential and critical nonlinearities
- Comparison results for PDEs with a singular potential
- The linear heat equation with highly oscillating potential
- On a heat problem involving the perturbed Hardy–Sobolev operator
- Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
- Existence and symmetries for elliptic equations with multipolar potentials and polyharmonic operators
- Existence of Blowing-up Solutions for a Nonlinear Elliptic Equation with Hardy Potential and Critical Growth
- SINGULAR SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR ABSORPTION AND HARDY POTENTIALS
