In this talk, I will present some recent results about existence and Holder regularity of weak solutions to a class of nonlinear Cauchy-Neumann problems arising in combustion theory and fractional diffusion. Weak solutions are obtained through a…
Categoria evento: Analysis Seminar
Alcuni risultati di confronto per soluzioni di problemi ellittici con dati al bordo di tipo misto – Cristina Trombetti (Università degli Studi di Napoli Federico IIi Federico II)
I risultati di confronto alla Talenti per soluzioni di problemi ellittici con dati al bordo di tipo Dirichet e Neumann sono stati ampiamente affrontati negli ultimi decenni. In questo seminario si affronta il problema di come ottenere risultati…
Fourier Rearrangement: Symmetry results for PDEs of arbitrary order – Enno Lenzmann (University of Basel)
In this talk, I will give an introduction to the method of Fourier rearrangements. This is a new method for proving optimal symmetry results for minimizers of variational problems involving (pseudo-)differential operators. In particular, we can…
Geometric applications of (non)Linear Potential Theory – Mattia Fogagnolo (Scuola Normale Superiore )
I will discuss how geometric inequalities and splitting results on complete Riemannian manifolds with nonnegative Ricci curvature can be provided by employing suitable monotone quantities along the flow of capacitary and p-capacitary potentials, as…
From quantization of measures to weighted ultrafast diffusion equations – Mikaela Iacobelli (ETH Zurich)
In this talk I will discuss some recent results on the asymptotic behaviour of a family of weighted ultrafast diffusion PDEs. These equations are motivated by the gradient flow approach to the problem of quantization of measures, introduced in a…
Perelman, the Ricci flow and the Poincarè Conjecture – Carlo Mantegazza (Universita’ di Napoli Federico II)
I will present an overview of the Ricci flow and of its geometric applications, in particular the proof of Poincare’ conjecture. It will be a panoramic and informative talk aimed at non specialists.…
Nonwandering points of continuous dynamical systems and constructive controllability – L’EVENTO SI TERRA’ SU MEET – Eugene Stepanov (St. Petersburg State University)
We will give an overview of the recent results stating how can one constructively slightly perturb a smooth vector field in order to make a given point periodic under the flow it produces (for nonwandering points this is the statements of the…
An isotropic free transmission problem involving p-laplacian – Harish Shrivastava (UFB Joao Pessoa-Brazil)
In free transmission problems we study the functionals where solutions are required to satisfy distinct partial differential equations in different phases. We will be considering the variational formulation of the problem, which will impose…
“A biologically inspired deduction of Optimal Transport Problems” – Enrico Facca (Scuola Normale Superiore)
We present a model originally inspired by the study of a unicellular slime mold (called Physarum Polycephalum). The model couples a diffusion equation with an ODE imposing a transient dynamics postulating that the diffusion coefficient grows with…
A deterministic particle approach to aggregation diffusion models and application to opinion dynamics. – Emanuela Radici (Università degli Studi dell’Aquila)
We describe the one dimensional dynamics of a biological population influenced by the presence of a nonlocal attractive potential and a diffusive term, under the constraint that no overcrowding can occur. This setting can be expressed by a class of…