Kernel estimates for elliptic operators with second-order discontinuous coefficients

DOI10.1007/s00028-016-0355-1OpenAlexW4252128125MaRDI QIDQ2397421

Motohiro Sobajima, Chiara Spina, Metafune, Giorgio

Publication date: 22 May 2017

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

Full work available at URL: https://doi.org/10.1007/s00028-016-0355-1

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 (17)

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 ⋮ Kernel estimates for elliptic operators with second-order discontinuous coefficients ⋮ Sharp kernel estimates for elliptic operators with second-order discontinuous coefficients ⋮ Fractional Kolmogorov operator and desingularizing weights ⋮ Non-uniqueness for second order elliptic operators ⋮ Relativistic stable operators with critical potentials ⋮ Rellich inequalities in bounded domains ⋮ Fractional Laplacian with Hardy potential ⋮ 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 ⋮ Dirichlet parabolic problems involving Schrödinger type operators with unbounded diffusion and singular potential terms in unbounded domains ⋮ Heat kernel bounds for parabolic equations with singular (form-bounded) vector fields ⋮ Gradient estimates for elliptic operators with second-order discontinuous coefficients ⋮ Regularity of solutions to Kolmogorov equation with Gilbarg-Serrin matrix

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