Add to ORKGIn this paper, we adapt powerful tools from geometric analysis to get quantitative estimates on the quantitative strata of the generalized critical set of harmonic functions which vanish continuously on an open subset of the boundary of a convex domain. These estimates represent a significant improvement upon existing results for boundary analytic continuation in the convex case.Comment: 69 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1904.0936
The main result of the present paper consists in a quanti-tative estimate of unique continuation at ...
We show optimal Lipschitz regularity for very weak solutions of the (measure-valued) elliptic PDE $-...
Abstract In this paper, we established a quantitative unique continuation results for a coupled heat...
Altres ajuts: Acord transformatiu CRUE-CSICLet (Formula presented.) be a (Formula presented.) domain...
AbstractIn this survey we discuss the frequency function method so as to study the problem of unique...
We study absolute continuity of harmonic measure with respect to surface measure on domains Ω that h...
AbstractIn this paper, we study certain unique continuation properties for solutions of the semiline...
We investigate variants of a Three Circles type Theorem in the context of \mathcal{Q}-valued functio...
We show that a harmonic function which vanishes continuously on an open set of the boundary of a con...
By constructing appropriate smooth, possibly non-convex supersolutions, we establish sharp lower bou...
Annali Scuola Normale Superiore Pisa Cl. Sci. (5) Vol X (2011), 913-984We study the generalized boun...
Title from PDF of title page (University of Missouri--Columbia, viewed on May 13, 2013).The entire t...
This article is about the convex solution $u$ of the Monge--Amp\`ere equation on an at least 2-dimen...
120 pagesWe study the generalized boundary value problem for nonnegative solutions of $-\Delta u+g(u...
It is shown that harmonic functions on some subsets, subharmonic and coinciding everywhere outside o...
The main result of the present paper consists in a quanti-tative estimate of unique continuation at ...
We show optimal Lipschitz regularity for very weak solutions of the (measure-valued) elliptic PDE $-...
Abstract In this paper, we established a quantitative unique continuation results for a coupled heat...
Altres ajuts: Acord transformatiu CRUE-CSICLet (Formula presented.) be a (Formula presented.) domain...
AbstractIn this survey we discuss the frequency function method so as to study the problem of unique...
We study absolute continuity of harmonic measure with respect to surface measure on domains Ω that h...
AbstractIn this paper, we study certain unique continuation properties for solutions of the semiline...
We investigate variants of a Three Circles type Theorem in the context of \mathcal{Q}-valued functio...
We show that a harmonic function which vanishes continuously on an open set of the boundary of a con...
By constructing appropriate smooth, possibly non-convex supersolutions, we establish sharp lower bou...
Annali Scuola Normale Superiore Pisa Cl. Sci. (5) Vol X (2011), 913-984We study the generalized boun...
Title from PDF of title page (University of Missouri--Columbia, viewed on May 13, 2013).The entire t...
This article is about the convex solution $u$ of the Monge--Amp\`ere equation on an at least 2-dimen...
120 pagesWe study the generalized boundary value problem for nonnegative solutions of $-\Delta u+g(u...
It is shown that harmonic functions on some subsets, subharmonic and coinciding everywhere outside o...
The main result of the present paper consists in a quanti-tative estimate of unique continuation at ...
We show optimal Lipschitz regularity for very weak solutions of the (measure-valued) elliptic PDE $-...
Abstract In this paper, we established a quantitative unique continuation results for a coupled heat...