Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients

DOI10.1007/s00028-017-0408-0OpenAlexW2509203433MaRDI QIDQ1670256

Luigi Negro, Chiara Spina, Metafune, Giorgio

Publication date: 5 September 2018

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

Full work available at URL: https://doi.org/10.1007/s00028-017-0408-0

zbMATH Keywords

kernel estimatesdiscontinuous coefficientsanalytic semigroupselliptic operators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Markov semigroups and applications to diffusion processes (47D07) Maximum principles in context of PDEs (35B50) Degenerate elliptic equations (35J70)

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 ⋮ Multi-dimensional degenerate operators in \(L^p\)-spaces ⋮ Degenerate operators on the half-line ⋮ Heat kernel estimates for subordinate Markov processes and their applications ⋮ \(L^p\) estimates for the Caffarelli-Silvestre extension operators ⋮ Integral representation of solutions using Green function for fractional Hardy equations ⋮ Fractional Kolmogorov operator and desingularizing weights ⋮ A unified approach to degenerate problems in the half-space ⋮ Anisotropic Sobolev spaces with weights ⋮ Rellich inequalities in bounded domains ⋮ Optimal kernel estimates for elliptic operators with second order discontinuous coefficients ⋮ Asymptotic behaviour for elliptic operators with second-order discontinuous coefficients ⋮ Maximal regularity for elliptic operators with second-order discontinuous coefficients ⋮ Heat kernel bounds for parabolic equations with singular (form-bounded) vector fields ⋮ Gradient estimates for elliptic operators with second-order discontinuous coefficients

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