5 papers · 1 filter
Gelfand-Shilov spaces and operators with ultradifferential weighted symbols on non-compact manifolds
Sandro Coriasco, Pedro Meyer Tokoro
We invariantly define Gelfand-Shilov spaces on classes of non-compact manifolds with a certain ``structure at infinity''. We also construct and study a global calculus of pseudodif…
Representation formula, regularity and decay of solutions for sub-diffusion type equations
Sandro Coriasco, Giovanni Girardi, Stevan PilipoviÄ
We study regularity and decay properties for the solutions of the Cauchy problem for time-fractional partial differential equations, with tempered initial data, belonging to suitab…
Global hypoellipticity for a class of time-periodic operators on asymptotically Euclidean manifolds
Fernando de Ãvila Silva, Matteo Bonino, Sandro Coriasco
We introduce time-periodic Gevrey-Sobolev-Kato spaces on asymptotically Euclidean manifolds and study their characterisation throughout Fourier expansions associated with suitable…
Global hypoellipticity and solvability for a class of evolution operators in time-periodic weighted Sobolev spaces
Fernando de Ãvila Silva, Matteo Bonino, Sandro Coriasco
We study the hypoellipticity and solvability properties of a class of time-periodic evolution operators, with coefficients globally defined on and growing polynomial…
Chaos expansion solutions of a class of magnetic Schrödinger Wick-type stochastic equations on
Sandro Coriasco, Stevan PilipoviÄ, Dora SeleÅ¡i
We treat some classes of linear and semilinear stochastic partial differential equations of Schrödinger type on , involving a non-flat Laplacian, within the framewor…