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Displaying 41 – 60 of 393

Harmonické funkce a věty o průměru

Ivan Netuka (1975)

Časopis pro pěstování matematiky

Harnachk Inequalities for Solutions of General Second Order Parabolic Equations and Estimates of Their Hölder Constants.

Manfred Gruber (1984)

Mathematische Zeitschrift

Harnack estimates for weak supersolutions to nonlinear degenerate parabolic equations

Tuomo Kuusi (2008)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

In this work we prove both local and global Harnack estimates for weak supersolutions to second order nonlinear degenerate parabolic partial differential equations in divergence form. We reduce the proof to an analysis of so-called hot and cold alternatives, and use the expansion of positivity together with a parabolic type of covering argument. Our proof uses only the properties of weak supersolutions. In particular, no comparison to weak solutions is needed.

Harnack inequalities: an introduction.

Kassmann, Moritz (2007)

Boundary Value Problems [electronic only]

Harnack inequalities and ABP estimates for nonlinear second-order elliptic equations in unbounded domains.

Amendola, M.E., Rossi, L., Vitolo, A. (2008)

Abstract and Applied Analysis

Harnack inequalities, exponential separation, and perturbations of principal Floquet bundles for linear parabolic equations

Juraj Húska, Peter Poláčik, Mikhail V. Safonov (2007)

Annales de l'I.H.P. Analyse non linéaire

Harnack inequalities for curvature flows depending on mean curvature.

Smoczyk, Knut (1997)

The New York Journal of Mathematics [electronic only]

Harnack inequalities for evolving hypersurfaces.

Ben Andrews (1994)

Mathematische Zeitschrift

Harnack Inequalities for Nonuniformly Elliptic Divergence Structure Equations.

Neil S. Trudinger (1981)

Inventiones mathematicae

Harnack inequalities for quasi-minima of variational integrals

E. Di Benedetto, Neil S. Trudinger (1984)

Annales de l'I.H.P. Analyse non linéaire

Harnack inequalities for Schrödinger operators

Wolfhard Hansen (1999)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Harnack inequalities on graphs

Thierry Delmotte (1997/1998)

Séminaire de théorie spectrale et géométrie

Harnack inequality and Green function for a certain class of degenerate elliptic differential operators.

Oscar Salinas (1991)

Revista Matemática Iberoamericana

The main purpose of this work is to obtain a Harnack inequality and estimates for the Green function for the general class of degenerate elliptic operators described below.

Harnack inequality and heat kernel estimates for the Schrödinger operator with Hardy potential

Luisa Moschini, Alberto Tesei (2005)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

In this preliminary Note we outline some results of the forthcoming paper [11], concerning positive solutions of the equation $\partial_{t} u = △ u + \frac{c}{|x^{2}|} u (0 < c < \frac{{(n - 2)}^{2}}{4}; n \geq 3)$ . A parabolic Harnack inequality is proved, which in particular implies a sharp two-sided estimate for the associated heat kernel. Our approach relies on the unitary equivalence of the Schrödinger operator $H u = - △ u - \frac{c}{{|x|}^{2}} u$ with the opposite of the weighted Laplacian $△_{λ} v = \frac{1}{{|x|}^{λ}} div ({|x|}^{λ} \nabla v)$ when $λ = 2 - n + 2 \sqrt{c_{0} - c}$ .

Harnack inequality for hypoelliptic ultraparabolic equations with a singular lower order term.

S. Polidoro, M. A. Ragusa (2008)