Hot spots of solutions to the heat equation with inverse square potential
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Publication:5227759
DOI10.1080/00036811.2018.1466284zbMath1420.35110arXiv1802.00175OpenAlexW2962868586WikidataQ125904637 ScholiaQ125904637MaRDI QIDQ5227759
Yoshitsugu Kabeya, Kazuhiro Ishige, Asato Mukai
Publication date: 7 August 2019
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1802.00175
Related Items (3)
The heat equation with strongly singular potentials ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces. II ⋮ Decay estimates for Schrödinger heat semigroup with inverse square potential in Lorentz spaces
Cites Work
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- On criticality and ground states of second order elliptic equations. II
- \(L^p\) norms of nonnegative Schrödinger heat semigroup and the large time behavior of hot spots
- Large time behaviors of hot spots for the heat equation with a potential
- Movement of hot spots on the exterior domain of a ball under the Dirichlet boundary condition
- Hot spots for the heat equation with a rapidly decaying negative potential
- Structure of positive solutions to \((-\Delta +V)u=0\) in \(R^ n\)
- Large time behavior of the \(L^ p\) norm of Schrödinger semigroups
- \(L^ p\) norms of non-critical Schrödinger semigroups
- Large time behavior of the heat kernel and the behavior of the Green function near criticality for nonsymmetric elliptic operators
- Large time behavior of the heat kernel: The parabolic \(\lambda\)-potential alternative
- Movement of hot spots over unbounded domains in \({\mathbb{R}}^ N\)
- The Cauchy problem for the heat equation with a singular potential.
- Large time behavior of the heat kernel.
- The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
- Large time behavior of solutions of the heat equation with inverse square potential
- Movement of hot spots on the exterior domain of a ball under the Neumann boundary condition
- Mathematical problems from combustion theory
- Estimates of integral kernels for semigroups associated with second-order elliptic operators with singular coefficients
- Global heat kernel bounds via desingularizing weights
- Hot spots for the two dimensional heat equation with a rapidly decaying negative potential
- Harnack inequality and heat kernel estimates for the Schrödinger operator with Hardy potential
- On positivity, criticality, and the spectral radius of the shuttle operator for elliptic operators
- Movement of hot spots in Riemannian manifolds
- Domain of existence and blowup for the exponential reaction-diffusion equation
- Some Aspects of Large Time Behavior of the Heat Kernel: An Overview with Perspectives
- The heat kernel of a Schrödinger operator with inverse square potential
- Parabolic Harnack inequality for the heat equation with inverse-square potential
- Large time behavior of Schrödinger heat kernels and applications
- Global bounds of Schrödinger heat kernels with negative potentials
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