18 citations · 21 across the 7 of their papers we have counts for
7 papers
On some hyperbolic equations of third order
Ferruccio Colombini, Todor Gramchev, Nicola Orrù +1
We give sufficient conditions for the well-posedness in of the Cauchy problem for third order equations with time dependent coefficients.
Anisotropic Shubin operators and eigenfunctions expansions in Gelfand-Shilov spaces
Marco Cappiello, Todor Gramchev, Stevan Pilipovic +1
We derive new results on the characterization of Gelfand--Shilov spaces , , by Gevrey estimates of the norms of iterates of …
Global Hypoellipticity for First-Order Operators on Closed Smooth Manifolds
Fernando de Ávila Silva, Alexandre Kirilov, Todor Gramchev
The main goal of this paper is to address global hypoellipticity issues for the following class of operators: , where , $\mathb…
Weyl asymptotics for tensor products of operators and Dirichlet divisors
Todor Gramchev, Stevan Pilipovic, Luigi Rodino +1
We study the counting function of the eigenvalues for tensor products of operators, and their perturbations, in the context of Shubin classes and closed manifolds. We emphasize con…
Decay estimates for solutions of nonlocal semilinear equations
Marco Cappiello, Todor Gramchev, Luigi Rodino
We investigate the decay for of weak Sobolev type solutions of semilinear nonlocal equations . We consider the case when is an elliptic Fo…
Global Solvability in Functional Spaces for Smooth Nonsingular Vector Fields in the Plane
Roberto De Leo, Todor Gramchev, Alexandre Kirilov
We address some global solvability issues for classes of smooth nonsingular vector fields in the plane related to cohomological equations in geometry and dynamical syste…
TYZ expansion for the Kepler manifold
Todor Gramchev, Andrea Loi
The main goal of the paper is to address the issue of the existence of Kempf's distortion function and the Tian-Yau-Zelditch (TYZ) asymptotic expansion for the Kepler manifold - an…