T. Gramchev

activity

20072021

most citedGlobal Hypoellipticity for First-Order Operators on Closed Smooth Manifolds

18 citations · 21 across the 7 of their papers we have counts for

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math.AP2021

On some hyperbolic equations of third order

Ferruccio Colombini, Todor Gramchev, Nicola Orrù +1

We give sufficient conditions for the well-posedness in $C^{\infty}$ of the Cauchy problem for third order equations with time dependent coefficients.

math.AP2015★ 18 cited

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: $L = D_{t} + C (t, x, D_{x})$ , where $(t, x) \in T \times M$ , $\mathb…

math.AP2012

Decay estimates for solutions of nonlocal semilinear equations

Marco Cappiello, Todor Gramchev, Luigi Rodino

We investigate the decay for $∣ x ∣ \to \infty$ of weak Sobolev type solutions of semilinear nonlocal equations $P u = F (u)$ . We consider the case when $P = p (D)$ is an elliptic Fo…

math.AP2010

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 $L$ in the plane related to cohomological equations $Lu = f$ in geometry and dynamical syste…