Análise

A phase-filed approximation for a surface-evolution energy with a density

Por Marco Caroccia (Scuola Normale Superiore & Università di Firenze).

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Initial-boundary value problems for generalized Kelvin-Voigt equations

Por Khompysh Khonatbek (al-Farabi Kazakh national university).

Abstract: In this talk the initial-boundary value problems for modified Kelvin-Voigt equations with p,q-Laplace will be considered. The unique solvability and the quality properties as blow-up in a finite time and large time behaviour of the weak solution will be proved.

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Some inequalities for fractional Laplacians

Por Alexander Nazarov (PDMI RAS and St. Petersburg University).

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Local well-posedness for the nonlocal derivative nonlinear Schrödinger equation in Besov spaces

Por Vanessa Barros (University of Porto/Federal University of Bahia-Brazil).

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Linear (and Nonlinear) Dirichlet Problems with Singular Convection/Drift Terms

Por Lucio Boccardo (Sapienza Università di Roma).

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Symmetry results in two-dimensional inequalities with magnetic fields

Por Denis Bonheure (Université Libre de Bruxelles).

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Semilinear parabolic equations with asymptotically linear growth

Por Juliana Fernandes (Universidade Federal do Rio de Janeiro).

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A free boundary problem for an inhomogeneous operator with nonstandard growth

Por Claudia Lederman (Universidad de Buenos Aires and IMAS - CONICET).

Abstract: We present recent results on a free boundary problem for an inhomogeneous operator with nonstandard growth. This operator has been used in the modelling of electrorheological fluids and in image processing. We obtain free boundary regularity results for weak solutions and we apply these results to minimizers of suitable energy functionals.