We show that the boundary trace operator on Sobolev space of functions with summable gradient on von Koch’s snowflake has a right inverse. This contrasts with the case of domains with nice boundaries in which, according to Petree’s theorem, a right…
Categoria evento: Analysis Seminar
Linear stability of a shock profile for a quasilinear Benney system in R – Joao Paulo Dias (Lisbon)
Venue Sala Riunioni (Dip. Matematica). Abstract…
Double phase problems with variable growth – Vicentiu Radulescu (Inst. Math. of the Romanian Academy & University of Craiova)
We consider several classes of double phase variational integrals driven by nonhomogeneous potentials. We study the associated Euler equations and we highlight some new properties. We point out concentration phenomena of the spectrum, nonexistence…
Approximate convexity principles and applications to PDEs in convex domain – Marco Squassina (Univ Brescia)
We obtain approximate convexity principles for solutions to some classes of nonlinear elliptic partial differential equations in convex domains involving approximately concave nonlinearities. Furthermore, we provide some applications to some…
Long Time Behavior of Flat Jump Discontinuities of Hyperbolic PDE – J. Rauch (Michigan U.)
Venue Sala Riunioni (Dip. Matematica). Abstract…
Large Data Solutions for Fractional Higher Order Nonlinear Equations. – Sandra Lucente (University of Bari)
Large Data Solutions for Fractional Higher Order Nonlinear Equations. Abstract: We consider a class of evolution equation involving fractional Laplacian and nonlinear polynomial term. We discuss global existence in the energy space, decay estimates…
Optimal transport planning with a non linear cost – Guy Bouchitte’ (Universit\\’e de Toulon)
In optimal mass transport theory, many problems can be written in the Monge-Kantorovich form $$ \inf\{ \int_{X\times Y} c(x,y) \, d\gamma \ :\ \gamma\in \Pi(\mu,\ u)\}\ ,\eqno(1) $$ where $\mu,\ u$ are given probability measures on $X,Y$ and…
Intrinsic regular surfaces of low co-dimension in Heisenberg groups – Francesca Corni (Universita’ di Bologna)
In Heisenberg groups, and, more in general, in Carnot groups, equipped with their Carnot- Carathodory metric, the analogous of regular (Euclidean) surfaces of low co-dimensionkcan be consideredG-regular surfaces (H-regular ifG=Hn), i.e. level sets…
Classical and New Problems in Geometric Analysis – Mattia Fogagnolo (Università di Trento)
In the first part of the talk, we will review the classical Alexandrov Theorem, the Isoperimetric Inequality and the Willmore Inequality in Euclidean spaces, trying to highlight their mutual connections and to discuss how they can be proved through…
Optimal transport between mutually singular measures – Giuseppe Buttazzo (Universita’ di Pisa)
We study the Wasserstein distance between two measures $\mu,\ u$ which are mutually singular. In particular, we are interested in minimization problems of the form $$W(\mu,{\cal A})=\inf\big\{W(\mu,\ u)\ :\ \ u\in{\cal A}\big\}$$ where $\mu$ is a…