Quadratic tilt-excess decay and strong maximum principle for varifolds

Reiner Schätzle

Displaying similar documents to “Quadratic tilt-excess decay and strong maximum principle for varifolds”

On the Hölder continuity of solutions of second order elliptic equations in two variables

L. C. Piccinini, S. Spagnolo (1972)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Balls defined by nonsmooth vector fields and the Poincaré inequality

Annamaria Montanari, Daniele Morbidelli (2004)

Annales de l’institut Fourier

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We provide a structure theorem for Carnot-Carathéodory balls defined by a family of Lipschitz continuous vector fields. From this result a proof of Poincaré inequality follows.

An inverse problem for the equation $▵ u = - c u - d$

Michael Vogelius (1994)

Annales de l'institut Fourier

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Let $Ω$ be a bounded, convex planar domain whose boundary has a not too degenerate curvature. In this paper we provide partial answers to an identification question associated with the boundary value problem $▵ u = - c u - d in Ω, u = 0 on \partial Ω .$ We prove two results: 1) If $Ω$ is not a ball and if one considers only solutions with $- c u - d \leq 0$ , then there exist at most finitely many pairs of coefficients $(c, d)$ so that the normal derivative $\frac{\partial u}{\partial ν} |_{\partial Ω}$ equals a given $ψ \neq 0$ . 2) If one imposes no sign condition on the...

An algorithm for the one-phase Stefan problem

E. Di Benedetto, R. Spigler (1983)

Rendiconti del Seminario Matematico della Università di Padova

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Berry–Esseen theorem and local limit theorem for non uniformly expanding maps

Sébastien Gouëzel (2005)

Annales de l'I.H.P. Probabilités et statistiques

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Universal solutions of a nonlinear heat equation on $ℝ^{N}$

Thierry Cazenave, Flávio Dickstein, Fred B. Weissler (2003)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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In this paper, we study the relationship between the long time behavior of a solution $u (t, x)$ of the nonlinear heat equation $u_{t} - Δ u + {| u |}^{α} u = 0$ on $ℝ^{N}$ (where $α > 0$ ) and the asymptotic behavior as $| x | \to \infty$ of its initial value $u_{0}$ . In particular, we show that if the sequence of dilations $λ_{n}^{2 / α} u_{0} (λ_{n} \cdot)$ converges weakly to $z (\cdot)$ as $λ_{n} \to \infty$ , then the rescaled solution $t^{1 / α} u (t, \cdot \sqrt{t})$ converges uniformly on $ℝ^{N}$ to $𝒰 (1) z$ along the subsequence $t_{n} = λ_{n}^{2}$ , where $𝒰 (t)$ is an appropriate flow. Moreover, we show there exists an initial value $U_{0}$ such that the set of all possible $z$ attainable...

Displaying similar documents to “Quadratic tilt-excess decay and strong maximum principle for varifolds”

On the Hölder continuity of solutions of second order elliptic equations in two variables

Balls defined by nonsmooth vector fields and the Poincaré inequality

An inverse problem for the equation ▵ u = - c u - d

An algorithm for the one-phase Stefan problem

Berry–Esseen theorem and local limit theorem for non uniformly expanding maps

Universal solutions of a nonlinear heat equation on ℝ N

An inverse problem for the equation $▵ u = - c u - d$

Universal solutions of a nonlinear heat equation on $ℝ^{N}$