Doob's decomposition and Burkholder's inequalities
A note on Revuz measure
Representations of excessive functions.
On Decomposition Theorems of Meyer.
Quasi-Martingales.
Brownian Motion and Eigenvalues for the Dirichlet Laplacian.
On strong Markov duals.
Hypothesis (B) of Hunt
Erratum : A new setting for potential theory (part 1)
A new setting for potential theory. I
We consider a transient Hunt process in which the potential density satisfies the conditions: (a) for each , is finite continuous in ; (b) iff . In earlier papers Chung established an equilibrium principle, and Rao obtained a Riesz of decomposition for excessive functions. We now begin a deeper study under these conditions, including the uniqueness of the decomposition and Hunt’s hypothesis (B).
On a theorem of Cartan
On the analysis of boundary value problems in nonsmooth domains
Problems involving cracks are of particular importance in structural mechanics, and gave rise to many interesting mathematical techniques to treat them. The difficulties stem from the singularities of domains, which yield lower regularity of solutions. Of particular interest are techniques which allow us to identify cracks and defects from the mechanical properties. Long before advent of mathematical modeling in structural mechanics, defects were identified by the fact that they changed the sound...
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