A Property of Measures in Rn and an Application to Unique Continuation.
T.H. Wolff (1992)
Geometric and functional analysis
W. Walter, R.C. Thompson (1991)
Mathematische Zeitschrift
Trong, Dang Duc, Quan, Pham Hoang, Tuan, Nguyen Huy (2009)
Electronic Journal of Differential Equations (EJDE) [electronic only]
John W. Barrett, Leonid Prigozhin (2013)
ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
Existence of a solution to the quasi-variational inequality problem arising in a model for sand surface evolution has been an open problem for a long time. Another long-standing open problem concerns determining the dual variable, the flux of sand pouring down the evolving sand surface, which is also of practical interest in a variety of applications of this model. Previously, these problems were solved for the special case in which the inequality is simply variational. Here, we introduce a regularized...
Fujita, Yasuhiro (2005)
Journal of Inequalities and Applications [electronic only]
Joseph, Kayyunnapara Thomas (2006)
Electronic Journal of Differential Equations (EJDE) [electronic only]
E. Shargorodsky, J. F. Toland (2003)
Annales de l'I.H.P. Analyse non linéaire
Etienne Sandier, Sylvia Serfaty (2000)
Annales scientifiques de l'École Normale Supérieure
Vaz, Cristina, Boldrini, José Luiz (2006)
Portugaliae Mathematica. Nova Série
Philippe Benilan, Haim Brezis, Michael G. Crandall (1975)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Dyson, Janet, Villella-Bressan, Rosanna, Webb, Glenn F. (2003)
International Journal of Mathematics and Mathematical Sciences
Juan Dávila, Marcelo Montenegro (2003)
RACSAM
Para 0 < β < 1 consideramos la ecuación -Δu = χ{u > 0} (-u-β + λf(x, u)) en Ω con condición de borde tipo Dirichlet. Esta ecuación posee una solución maximal uλ ≥ 0 para todo λ > 0. Si λ es menor que una cierta constante λ*, uλ se anula en el interior del dominio creando una frontera libre, y para λ > λ* esta solución es positiva en Ω y estable. Establecemos la regularidad de uλ incluso en presencia de una frontera libre. Para λ ≥ λ* la solución del problema...
Mueller, Carl, Tribe, Roger (2004)
Electronic Journal of Probability [electronic only]
Romanov, V.G. (2002)
Sibirskij Matematicheskij Zhurnal
Romanov, V.G. (2004)
Sibirskij Matematicheskij Zhurnal
Romanov, V.G. (2004)
Sibirskij Matematicheskij Zhurnal
Romanov, V. G. (2003)
Sibirskij Matematicheskij Zhurnal
Glushkova, D.I., Romanov, V.G. (2003)
Sibirskij Matematicheskij Zhurnal
Migórski, Stanislaw (1995)
International Journal of Mathematics and Mathematical Sciences
B. Canuto, Edi Rosset, S. Vessella (2002)
ESAIM: Control, Optimisation and Calculus of Variations
We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium in , , from a single pair of boundary measurements of temperature and thermal flux.