Publication Date:
2015
Short description:
Geometric Methods in PDE’s / Citti, Giovanna; Manfredini, Maria; Morbidelli, Daniele; Polidoro, Sergio; Uguzzoni, Francesco. - STAMPA. - (2015), pp. 1-373. [10.1007/978-3-319-02666-4]
abstract:
The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications. In recent years, the geometric properties of linear and nonlinear second order PDEs of elliptic and parabolic type have been extensively studied by many outstanding researchers. This book collects contributions from a selected group of leading experts who took part in the INdAM meeting "Geometric methods in PDEs", on the occasion of the 70th birthday of Ermanno Lanconelli. They describe a number of new achievements and/or the state of the art in their discipline of research, providing readers an overview of recent progress and future research trends in PDEs. In particular, the volume collects significant results for sub-elliptic equations, potential theory and diffusion equations, with an emphasis on comparing different methodologies and on their implications for theory and applications.
Iris type:
Curatela
Keywords:
Partial Differential Equations, Variational methods, Fully nonlinear PDEs, Regularity theory, Existence, uniqueness and multiplicity of solutions, Unique continuation, Fundamental solution, Sobolev spaces, A priori gradient estimates, BV functions, Carnot groups, Ornstein-Uhlenbeck operators, Lusin theorem, Harmonic maps, Moser-Trudinger-Adams inequality, Hardy inequality, Monge-Ampere equations, Geometric optics, Free boundary problems, Potential theory, Subelliptic PDEs, Poincaré and Sobolev inequalities
List of contributors:
Citti, Giovanna; Manfredini, Maria; Morbidelli, Daniele; Polidoro, Sergio; Uguzzoni, Francesco
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