We study Wave Maps from ${\mathbf{R}} {2+1}$ to the hyperbolic plane ${\mathbf{H}} {2}$ with smooth compactly supported initial data which are close to smooth spherically symmetric initial data with respect to some $H {1+\mu}$, $\mu>0$. We show that such Wave Maps don't develop …
Geometric properties for parabolic and elliptic PDE's: GPPEPDEs, Palinuro, Italy, May 2015
by Gazzola, Filippo, Ishige, Kazuhiro, Nitsch, Carlo, Salani, Paolo, Italian-Japanese Workshop on Geometric Properties for Parabolic and Elliptic PDE's, Palinuro, Italie)
fromSpringer proceedings in mathematics & statistics (En ligne)
This book collects recent research papers by respected specialists in the field. It presents advances in the field of geometric properties for parabolic and elliptic partial differential equations, an area that has always attracted great attention. It settles the basic issues (e…
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator …
We consider a parabolic problem with degeneracy in the interior of the spatial domain, and we focus on observability results through Carleman estimates for the associated adjoint problem. The novelties of the present paper are two. First, the coefficient of the leading operator …