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F. Gesztesy, M. Mitrea (2009)
Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalitiesJ. Diff. Eq., 247
W. Arendt, R. Mazzeo (2007)
Spectral properties of the Dirichlet-to-Neumann operator on Lipschitz domainsUlmer Seminare, 12
W. Arendt, R Mazzeo (2012)
Friedlander’s eigenvalue inequalities and the Dirichlet-to-Neumann semigroupCommun. Pure Appl. Anal., 11
A. Grigor’yan, J. Hu (2008)
Off-diagonal upper estimates for the heat kernel of the Dirichlet forms on metric spacesInvent. Math., 174
J. Marschall (1987)
Pseudodifferential operators with nonregular symbols of the class $${S^m_{\rho\delta} }$$ S ρ δ mComm. Part. Diff. Eq., 12
M.E. Taylor (1981)
Pseudodifferential operators
L. Boutetde Monvel (1971)
Boundary problems for pseudodifferential operatorsActa Math., 126
Z.-Q. Chen, P. Kim, R. Song (2012)
Dirichlet heat kernel estimates for fractional Laplacian with gradient perturbationAnn. Prob., 40
G. Grubb (1971)
On coerciveness and semiboundedness of general boundary problemsIsrael J., 10
M.E. Taylor (1996)
differential equations II: Qualitative studies of linear equations. Applied Mathematical Sciences 116
S. Agmon (1965)
On kernels, eigenvalues, and eigenfunctions of operators related to elliptic problemsComm. Pure Appl. Math., 18
K. Bogdan, T. Grzywny, M. Ryznar (2010)
Heat kernel estimates for the fractional Laplacian with Dirichlet conditionsAnn. Probab., 38
R Beals (1970)
Asymptotic behavior of the Green’s function and spectral function of an elliptic operatorJ. Funct. Anal., 5
X.T. Duong, D.W. Robinson (1996)
Semigroup kernels, Poisson bounds, and holomorphic functional calculusJ. Funct. Anal., 142
The purpose of this article is to establish upper and lower estimates for the integral kernel of the semigroup exp(− t P ) associated with a classical, strongly elliptic pseudodifferential operator P of positive order on a closed manifold. The Poissonian bounds generalize those obtained for perturbations of fractional powers of the Laplacian. In the selfadjoint case, extensions to $${t \in{\mathbb C}_+}$$ t ∈ C + are studied. In particular, our results apply to the Dirichlet-to-Neumann semigroup.
Journal of Evolution Equations – Springer Journals
Published: Mar 1, 2014
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