Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 4 of 4 for “"non-local operators"”.
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Intrinsic contractivity for some non-symmetric Lévy processes with non-local operators
In this thesis we consider two types of non-symmetric processes, which are similar to the symmetric α-stable process. We derive sharp estimates for the eigenfunctions of the Feynman- Kac semigroups of these two types of processes and established their intrinsic contractivities. Our methods are …
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A tensor product approach to non-local differential complexes
… spaces associated with (generally) unbounded non-local operators, such as operators of fractional Laplacian type. We show that these complexes can be used to approximate complexes of differential forms in a non-local-to-local convergence on the level of cores. Under an absolute continuity …
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K-complexity and the Jordan-Wigner transformation
… and operator growth has been conjectured to be non-trivial due to the existence of duality transformations such as the Jordan-Wigner (JW) transformation which map small operators to large, non-local operators. We investigate this claim directly in the case of the JW transformation which maps the …
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Harnack inequality for nonlocal operators
… Harnack inequalities for a class of nonlocal operators and a class of weakly coupled nonlocal operators. In Chapter 1, we show the scale-invariant elliptic Harnack inequality holds for a class of nonlocal operators, which are second order elliptic differential operators perturbed by …