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pro vyhledávání: '"Parametrix construction"'
Akademický článek
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In this paper we develop the parametrix approach for constructing the heat kernel on a graph $G$. In particular, we highlight two specific cases. First, we consider the case when $G$ is embedded in a Eulidean domain or manifold $\Omega$, and we use a
Externí odkaz:
http://arxiv.org/abs/2308.04174
Autor:
Caldeira, Bruno, Gentile, Giuseppe
This is the second part of a two parts work on the analysis of heat-type equations on manifolds with fibered boundary equipped with a $\Phi$-metric. This setting generalizes the asymptotically conical (scattering) spaces and includes special cases of
Externí odkaz:
http://arxiv.org/abs/2302.13111
Autor:
Besset, Nicolas
We show the index 0 Fredholm property of the spectral family of the azimuthal harmonics of the charged Klein-Gordon operator on general cosmological slowly accelerating and rotating charged black hole type spacetimes, including the De Sitter-Kerr-New
Externí odkaz:
http://arxiv.org/abs/2203.06930
Autor:
Kühn, Franziska
Publikováno v:
Mathematische Nachrichten 292 (2019), 358-376
We present an existence result for L\'evy-type processes which requires only weak regularity assumptions on the symbol $q(x,\xi)$ with respect to the space variable $x$. Applications range from existence and uniqueness results for L\'evy-driven SDEs
Externí odkaz:
http://arxiv.org/abs/1702.00778
Autor:
Knopova, Victoria, Kulik, Alexei
Let $L:= -a(x) (-\Delta)^{\alpha/2}+ (b(x), \nabla)$, where $\alpha\in (0,2)$, and $a:\rd\to (0,\infty)$, $b: \rd\to \rd$. Under certain regularity assumptions on the coefficients $a$ and $b$, we associate with the $C_\infty(\rd)$-closure of $(L, C_\
Externí odkaz:
http://arxiv.org/abs/1412.8732
Autor:
Knopova, Victoria, Kulik, Alexei
In this paper we show that a non-local operator of certain type extends to the generator of a strong Markov process, admitting the transition probability density. For this transition probability density we construct the intrinsic upper and lower boun
Externí odkaz:
http://arxiv.org/abs/1307.3087
Autor:
Grieser, Daniel, Hunsicker, Eugenie
This paper presents the construction of parametrices for the Gauss-Bonnet and Hodge Laplace operators on noncompact manifolds modelled on Q-rank 1 locally symmetric spaces. These operators are, up to a scalar factor, $\phi$-differential operators, th
Externí odkaz:
http://arxiv.org/abs/1212.3459
Autor:
Waters, Alden
We construct a frame of complex Gaussians for the space of $L^2(\mathbb{R}^n)$ functions. When propagated along bicharacteristics for the wave equation, the frame can be used to build a parametrix with suitable error terms. When the coefficients of t
Externí odkaz:
http://arxiv.org/abs/1003.2747
Autor:
Kühn, Franziska1 franziska.kuhn@math.univ-toulouse.fr
Publikováno v:
Mathematische Nachrichten. Feb2019, Vol. 292 Issue 2, p358-376. 19p.
