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isting between convexity properties of solutions to elliptic and parabolic pde’s and Brunn-Minkowski type inequalities for associated variational functionals. Further than this main topic and included in the area of the work-shop, there are other interesting arguments. For instance the study of 1
I. Fragalà - F. Gazzola - J. Lamboley (proceedings of the INdAM Workshop "Geometric properties for parabolic and elliptic PDE's") Sharp bounds for the p-torsion of convex planar domains (2013) I. Fragalà - F. Gazzola - J. Lamboley - M. Pierre (Analysis (Munich)) Counterexamples to Symmetry for Partially Overdetermined Elliptic Problems (2009) We describe several topics within the theory of linear and nonlinear second order elliptic Partial Differential Equations. Through elementary approaches, we first explain how elliptic and parabolic PDEs are related to central issues in Probability and Geometry. This leads to several concrete equations. We classify them and describe their regularity theories.
Read "Geometric Properties for Parabolic and Elliptic PDE's GPPEPDEs, Palinuro, Italy, May 2015" by available from Rakuten Kobo. This book collects recent ...
Principal Investigator of the PRIN Research Project “Elliptic and parabolic partial ... Conference “Geometric Properties for Parabolic and Elliptic PDE's”, Palinuro, ...
29 Feb 2016 ... tions that are neither elliptic nor parabolic do arise in geometry (a good ... These algebraic properties of analytic functions are a significant ... 4 Nov 2011 ... 4.1 Parabolic PDE; 4.2 Hyperbolic PDE; 4.3 Elliptic PDE; 4.4 Remarks ... Geometric interpretation: find an integral surface of equation (1) passing ... Some properties of a homogeneous linear equation (with \deltaquiv 0):.