29 citations · 72 across the 10 of their papers we have counts for
10 papers
Hypoellipticity on time-periodic space-times
Sandro Coriasco, Perry Kleinhenz, Jared Wunsch
We study the hypoellipticity of operators on a product type Lorentzian manifold where the time variable is periodic. In particular, we prove that hypoellipticity holds for such tim…
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 Pilipović
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 Ávila 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 Ávila 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 Pilipović, Dora Seleši
We treat some classes of linear and semilinear stochastic partial differential equations of Schrödinger type on , involving a non-flat Laplacian, within the framework…
L^p(R^n)-continuity of translation invariant anisotropic pseudodifferential operators: a necessary condition
S. Coriasco, M. Murdocca
We consider certain anisotropic translation invariant pseudodifferential operators, belonging to a class denoted by , where and $ψ=(ψ_1,\dots,ψ_n)…
The global wave front set of tempered oscillatory integrals with inhomogeneous phase functions
S. Coriasco, R. Schulz
We study certain families of oscillatory integrals , parametrised by phase functions and amplitude functions globally defined on , which give rise to…
Bounded -Calculus for Differential Operators on Conic Manifolds with Boundary
S. Coriasco, E. Schrohe, J. Seiler
We derive conditions that ensure the existence of a bounded -calculus in weighted -Sobolev spaces for closed extensions of a differential operator…
Realizations of Differential Operators on Conic Manifolds with Boundary
S. Coriasco, E. Schrohe, J. Seiler
We study the closed extensions (realizations) of differential operators subject to homogeneous boundary conditions on weighted L_p-Sobolev spaces over a manifold with boundary and…