Found 63 Documents (Results 1–63)
The spine of the Fleming-Viot process driven by Brownian motion. (English) Zbl 07856571
Reviewer: Andrius Grigutis (Vilnius)
Optimal regularity and fine asymptotics for the porous medium equation in bounded domains. (English) Zbl 1536.35187
Nonnegative solutions of the heat equation in a cylindrical domain and Widder’s theorem. (English) Zbl 1531.35031
The Cauchy-Dirichlet problem for the fast diffusion equation on bounded domains. (English) Zbl 1530.35133
A structure theorem for elliptic and parabolic operators with applications to homogenization of operators of Kolmogorov type. (English) Zbl 1530.35134
Potential theory for a class of strongly degenerate parabolic operators of Kolmogorov type with rough coefficients. (English. French summary) Zbl 1481.35262
Foreword to the special issue “Contemporary PDEs between theory and modeling”. (English) Zbl 1493.00057
Carleson estimates for the singular parabolic \(p\)-Laplacian in time-dependent domains. (English) Zbl 1485.35084
Atti Accad. Naz. Lincei, Cl. Sci. Fis. Mat. Nat., IX. Ser., Rend. Lincei, Mat. Appl. 32, No. 4, 669-690 (2021).
On the fine properties of parabolic measures associated to strongly degenerate parabolic operators of Kolmogorov type. (English) Zbl 1470.35208
Reviewer: Maria Alessandra Ragusa (Catania)
Boundary estimates for a degenerate parabolic equation with partial Dirichlet boundary conditions. (English) Zbl 1448.35317
Transition probabilities for degenerate diffusions arising in population genetics. (English) Zbl 1417.35040
Reviewer: Jean Picard (Aubière)
Quantitative a priori estimates for fast diffusion equations with Caffarelli-Kohn-Nirenberg weights. Harnack inequalities and Hölder continuity. (English) Zbl 1408.35073
Reviewer: Vincenzo Vespri (Firenze)
Observability inequalities for parabolic equations over measurable sets and some applications related to the bang-bang property for control problems. (English) Zbl 1381.49006
Infinite speed of propagation and regularity of solutions to the fractional porous medium equation in general domains. (English) Zbl 1377.35259
Kolmogorov-Fokker-Planck equations: comparison principles near Lipschitz type boundaries. (English. French summary) Zbl 1339.35147
Reviewer: Dian K. Palagachev (Bari)
An upper bound for Hessian matrices of positive solutions of heat equations. (English) Zbl 1338.35198
Extension properties and boundary estimates for a fractional heat operator. (English) Zbl 1381.35230
On time dependent domains for the degenerate \(p\)-parabolic equation: Carleson estimate and Hölder continuity. (English) Zbl 1336.35179
Reviewer: S. G. Pyatkov (Khanty-Mansiysk)
A priori estimates for fractional nonlinear degenerate diffusion equations on bounded domains. (English) Zbl 1334.35382
Reviewer: Daniel Spector (Hsinchu City)
Boundary estimates for non-negative solutions to non-linear parabolic equations. (English) Zbl 1327.35200
Reviewer: Vincenzo Vespri (Firenze)
Boundary estimates for solutions to linear degenerate parabolic equations. (English) Zbl 1321.35105
Reviewer: Vincenzo Vespri (Firenze)
Boundary behavior of nonnegative solutions of fully nonlinear parabolic equations. (English) Zbl 1317.35112
Reviewer: Nikos Katzourakis (Reading)
The central limit theorem in Lipschitz domains. (English) Zbl 1306.60012
Reviewer: Yuliya S. Mishura (Kyïv)
A boundary Harnack inequality for singular equations of \(p\)-parabolic type. (English) Zbl 1302.35223
Reviewer: Vincenzo Vespri (Firenze)
Estimates for Dirichlet heat kernels, intrinsic ultracontractivity and expected exit time on Lipschitz domains. (English) Zbl 1277.31014
Boundary behavior of non-negative solutions of the heat equation in sub-Riemannian spaces. (English) Zbl 1258.35109
On positive harmonic functions in cones and cylinders. (English) Zbl 1247.31006
Reviewer: Benoît Collins (Ottawa)
Global heat kernel estimates for fractional Laplacians in unbounded open sets. (English) Zbl 1231.60078
Reviewer: Liliana Popa (Iaşi)
Boundary behavior of superharmonic functions satisfying nonlinear inequalities in uniform domains. (English) Zbl 1227.31009
Reviewer: Anatoly Filip Grishin (Khar’kov)
Heat kernel estimates for the Dirichlet fractional Laplacian. (English) Zbl 1203.60114
Reviewer: Anatoly N. Kochubei (Kyïv)
The Dirichlet problem for second order parabolic operators in non-cylindrical domains. (English) Zbl 1197.35130
Reviewer: Lubomira Softova (Aversa)
Gradient estimates and Harnack inequalities on non-compact Riemannian manifolds. (English) Zbl 1178.58013
Reviewer: Raouf Ghomrasni (Muizenberg)
Intrinsic ultracontractivity for stable semigroups on unbounded open sets. (English) Zbl 1180.47031
Reviewer: Wilfried Hazod (Dortmund)
Boundary Harnack principle and the quasihyperbolic boundary condition. (English) Zbl 1166.31002
Maz’ya, Vladimir (ed.), Sobolev spaces in mathematics II. Applications in analysis and partial differential equations. New York, NY: Springer; Novosibirsk: Tamara Rozhkovskaya Publisher (ISBN 978-0-387-85649-0/hbk; 978-0-387-85650-6/e-book; 978-0-387-85791-6/set). International Mathematical Series 9, 19-30 (2009).
Reviewer: Neil A. Watson (Christchurch)
On dual processes of non-symmetric diffusions with measure-valued drifts. (English) Zbl 1146.60060
Reviewer: Zoran Vondraček (Zagreb)
Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations. (English) Zbl 1139.35046
Reviewer: Michael I. Gil’ (Beer-Sheva)
Sharp two-sided heat kernel estimates for critical Schrödinger operators on bounded domains. (English) Zbl 1172.35013
Integral representations of nonnegative solutions for parabolic equations and elliptic Martin boundaries. (English) Zbl 1116.58026
Reviewer: Dian K. Palagachev (Bari)
Gaussian estimates for spatially inhomogeneous random walks on \(\mathbb Z^d\). (English) Zbl 1102.60062
Reviewer: Mohamed Hmissi (Tunis)
Comparison of Green functions and harmonic measures for parabolic operators. (English) Zbl 1071.31002
Reviewer: Dian K. Palagachev (Bari)
The global behavior of heat kernels in exterior domains. (English) Zbl 1021.58019
Reviewer: Lubomira Softova (Bari)
The boundary behavior of heat kernels of Dirichlet Laplacians. (English) Zbl 1002.35052
Reviewer: Lubomira Softova (Bari)
Regularity of the free boundary for non degnerate phase transition problems of parabolic type. (English) Zbl 1017.35119
Reviewer: Ruxandra Stavre (Bucuresti)
Behavior near the boundary of positive solutions of second order parabolic equations. II. (English) Zbl 0976.35031
Reviewer: Messoud Efendiev (Berlin)
On minimal parabolic functions and time-homogeneous parabolic \(h\)-transforms. (English) Zbl 0926.31005
Reviewer: S.L.Kalpazidou (Thessaloniki)
On boundary behavior of harmonic functions in Hölder domains. (English) Zbl 0922.31005
Reviewer: D.H.Armitage (Belfast)
Behavior near the boundary of positive solutions of second order parabolic equations. (English) Zbl 0939.35082
Reviewer: J.Stará (Praha)
Harmonic measure and heat equation. (Mesure harmonique et équation de la chaleur.) (French) Zbl 0916.31001
Reviewer: S.K.Rangarajan (Bangalore)
Dirichlet problem for the heat equation in \(h_ c^ 1(d\omega)\). (English) Zbl 0854.35052
Reviewer: V.Mustonen (Oulu)
MSC:
35K20
A note on boundary value problems for the heat equation in Lipschitz cylinders. (English) Zbl 0806.35055
A Fatou theorem for the solution of the heat equation at the corner points of a cylinder. (English) Zbl 0763.35043
Lifetimes of conditioned diffusions. (English) Zbl 0739.60069
MSC:
60J60
Solutions positives et mesure harmonique pour des operateurs paraboliques dans des ouverts “Lipschitziens”. (Positive solutions and harmonic measure for parabolic operators in “Lipschitz” domains). (French) Zbl 0734.35040
Reviewer: Y.Heurteaux (Orsay)
The h-path distribution of the lifetime of conditioned Brownian motion for non-smooth domains. (English) Zbl 0672.60079
MSC:
60J65
Boundary correspondence for solutions of elliptic and parabolic equations. (Italian. English summary) Zbl 0699.35056
Reviewer: W.Wendt
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