Der Gang der Handlung in Goethes Faust / Otto Harnack [PDF]
DER GANG DER HANDLUNG IN GOETHES FAUST / OTTO HARNACK Der Gang der Handlung in Goethes Faust / Otto Harnack (1) Cover (2) Titelseite (3) Vorbemerkung.
Harnack, Otto
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A New Entropy Formula and Gradient Estimates for the Linear Heat Equation on Static Manifold
In this paper we prove a new monotonicity formula for the heat equation via a generalized family of entropy functionals. This family of entropy formulas generalizes both Perelman’s entropy for evolving metric and Ni’s entropy on static manifold.
Abimbola Abolarinwa
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Boundary regularity of an isotropically censored nonlocal operator. [PDF]
Chan H.
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Harnack inequality for (p,q)-Laplacian equations uniformly degenerated in a part of domain
We consider a (p,q)-Laplace equation with the exponent values p,q depending on the boundary which is divided into two parts by a hyperplane. Assuming that the equation is uniformly degenerate with respect to a small parameter in the part of domain ...
Sarvan T. Huseynov
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We define a notion of Kato class of measures relative to a Riemannian strongly local -homogeneous Dirichlet form and we prove a Harnack inequality (on balls that are small enough) for the positive solutions to a Schrödinger-type problem relative to
Marchi Silvana, Biroli Marco
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Harnack inequality and boundary Harnack principle for subordinate killed Brownian motion (Probability Symposium) [PDF]
The purpose of this note is to provide a summary of the main results of our recent paper [8], where we estabhsh scale invariant Harnack inequality (HI) and boundary Harnack principle for subordinate killed Brownian motions.
Kim, Panki +2 more
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An elementary proof of the Harnack inequality for non-negative infinity-superharmonic functions
We present an elementary proof of the Harnack inequality for non-negative viscosity supersolutions of $Delta_{infty}u=0$. This was originally proven by Lindqvist and Manfredi using sequences of solutions of the $p$-Laplacian.
Tilak Bhattacharya
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Spatial dynamics of a nonlocal bistable reaction diffusion equation
This article concerns a nonlocal bistable reaction-diffusion equation with an integral term. By using Leray-Schauder degree theory, the shift functions and Harnack inequality, we prove the existence of a traveling wave solution connecting 0 to an ...
Bang-Sheng Han +2 more
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On the properties of infinty-harmonic functions and an application to capacitary convex rings
We study positive $infty$-harmonic functions in bounded domains. We use the theory of viscosity solutions in this work. We prove a boundary Harnack inequality and a comparison result for such functions near a flat portion of the boundary where they ...
Tilak Bhattacharya
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Harnack inequality for nondivergent elliptic operators on Riemannian manifolds
We consider second-order linear elliptic operators of nondivergence type which is intrinsically defined on Riemannian manifolds. Cabré proved a global Krylov-Safonov Harnack inequality under the assumption that the sectional curvature is nonnegative.
Kim, Seick
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