Zobrazeno 1 - 10
of 99
pro vyhledávání: '"Gramchev, Todor"'
We give sufficient conditions for the well-posedness in $\mathcal{C}^\infty$ of the Cauchy problem for third order equations with time dependent coefficients.
Externí odkaz:
http://arxiv.org/abs/2112.04372
We derive new results on the characterization of Gelfand--Shilov spaces $\mathcal{S}^\mu_\nu (\R^n)$, $\mu,\nu >0$, $\mu+\nu \geq 1$ by Gevrey estimates of the $L^2$ norms of iterates of $(m,k)$ anisotropic globally elliptic Shubin (or $\Gamma$) type
Externí odkaz:
http://arxiv.org/abs/1609.06214
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 $(t,x) \in \mathbb{T} \times M$, $\mathbb{T}$ is the one-dimensional torus, $M$ is a closed manifold and $C(t,
Externí odkaz:
http://arxiv.org/abs/1507.08880
Autor:
Gourdin, Daniel, Gramchev, Todor
Publikováno v:
In Bulletin des sciences mathématiques February 2019 150:35-61
Publikováno v:
Ann. Mat. Pura Appl. 194 (2015), 823-841
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 connections with problems of analytic number theory, concerning in partic
Externí odkaz:
http://arxiv.org/abs/1210.3786
We investigate the decay for $|x|\rightarrow \infty$ of weak Sobolev type solutions of semilinear nonlocal equations $Pu=F(u)$. We consider the case when $P=p(D)$ is an elliptic Fourier multiplier with polyhomogeneous symbol $p(\xi)$ and derive sharp
Externí odkaz:
http://arxiv.org/abs/1203.2075
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 systems. The first main result is that $L$ is not surjective in $C^\infty(\
Externí odkaz:
http://arxiv.org/abs/1001.2121
Autor:
Gramchev, Todor, Loi, Andrea
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 important example of non compact manfold. Motivated by the recent res
Externí odkaz:
http://arxiv.org/abs/0705.2118
Akademický článek
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Publikováno v:
Annali di Matematica Pura ed Applicata; Feb2023, Vol. 202 Issue 1, p143-183, 41p