Análise

Stability for the Data Processing Inequality in Quantum Information Theory

Por Eric Carlen (Department of Mathematics - Rutgers University, CMAF-CIO).

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Sign-changing solutions of the nonlinear heat equation with positive initial value

Por Fred Weissler (Institut Galilée - Université Paris 13).

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Fractionary powers of Laplacians in Fluid Mechanics

Por Antonio Córdoba (Universidad Autónoma de Madrid).

Abstract: Fractional powers of Laplacians play an important role in the evolution of fluid interphases and atmospheric fronts. There are several useful, and to some extend surprising, new pointwise inequalities satisfied by those operators which help us to understand the nature of several models in Fluid Mechanics, such as SQG, Hele-Shaw cells or Muskat’s problem.

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Lagrange multipliers and transport densities

Por Lisa Santos (Universidade do Minho).

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Biochemical reaction networks: sense and sensitivity

Por Bernold Fiedler (Institute of Mathematics - Free University of Berlin).

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Choquard type equations with Hardy-Littlewood-Sobolev critical growth

Por Daniele Cassani (Università degli Studi dell'Insubria and RISM).

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Positive powers of the Laplacian: from hypersingular integrals to boundary value problems

Por Alberto Saldaña (Karlsruher Institut für Technologie).

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The regularity of solutions to the elasto-plastic problem and to variational problems of fast growth

Por Arrigo Cellina (Università di Milano-Bicocca).

Abstract: We consider the problem of the higher differentiability of solutions to some variational problems, characterized by the fast growth of the Lagrangian with respect to the variable gradient. In particular, the case of the elasto-plastic problem, where the Lagrangian is an extended-valued function, will be discussed.