Heat kernel bounds and desingularizing weights.

DOI10.1016/S0022-1236(03)00018-1zbMath1036.35044MaRDI QIDQ1403836

D. Massart

Publication date: 4 September 2003

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

parabolic Kato class

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Second-order parabolic equations (35K10)

Related Items (16)

Heat kernel of fractional Laplacian with Hardy drift via desingularizing weights ⋮ Feller generators and stochastic differential equations with singular (form-bounded) drift ⋮ Global heat kernel bounds via desingularizing weights ⋮ On the equivalence of heat kernels of second-order parabolic operators ⋮ Sharp Gaussian estimates for heat kernels of Schrödinger operators ⋮ Fractional Kolmogorov operator and desingularizing weights ⋮ Heat kernel bounds and desingularizing weights. ⋮ Self-similarity in homogeneous stationary and evolution problems ⋮ Factorization and estimates of Dirichlet heat kernels for non-local operators with critical killings ⋮ Critical heat kernel estimates for Schrödinger operators via Hardy-Sobolev inequalities. ⋮ SINGULAR SOLUTIONS TO THE HEAT EQUATIONS WITH NONLINEAR ABSORPTION AND HARDY POTENTIALS ⋮ Heat kernel estimates for Schrödinger operators on exterior domains with Robin boundary conditions ⋮ Schauder estimates of the uniformly elliptic equation with a inverse-square potential ⋮ Regularity of weak solutions of elliptic and parabolic equations with some critical or supercritical potentials ⋮ Parabolic Harnack inequality for the heat equation with inverse-square potential ⋮ Sign-changing solutions of the nonlinear heat equation with persistent singularities

Cites Work

• Heat kernel bounds and desingularizing weights.
• Perturbation of Translation Invariant Positivity Preserving Semigroups on L 2 (R N )
• Two-Sided Estimates of the Heat Kernel of the Schrödinger Operator
• Global existence and local continuity of solutions for semilinear parabolic equations
• On a parabolic equation with a singular lower order term. Part II: The Gaussian bounds
• Comparison results for PDEs with a singular potential
• Feynman Integrals and the Schrödinger Equation
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