ar X iv : m at h / 06 06 67 1 v 1 [ m at h . A C ] 2 7 Ju n 20 06 PRÜFER ⋆ – MULTIPLICATION DOMAINS AND ⋆ – COHERENCE
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ar X iv : m at h / 06 05 53 3 v 2 [ m at h . PR ] 1 9 Ju n 20 06 Potential Theory of Truncated Stable Processes
R d with a Lévy density given by c|x| 1{|x|<1} for some constant c. In this paper we study the potential theory of truncated symmetric stable processes in detail. We prove a Harnack inequality for nonnegative harmonic nonnegative functions of these processes. We also establish a boundary Harnack principle for nonnegative functions which are harmonic with respect to these processes in bounded co...
متن کاملar X iv : m at h / 04 06 36 8 v 1 [ m at h . A P ] 1 8 Ju n 20 04 Hele - Shaw flow on weakly hyperbolic surfaces
We consider the Hele-Shaw flow that arises from injection of twodimensional fluid into a point of a curved surface. The resulting fluid domains have and are more or less determined implicitly by a mean value property for harmonic functions. We improve on the results of Hedenmalm and Shimorin [8] and obtain essentially the same conclusions while imposing a weaker curvature condition on the surfa...
متن کاملar X iv : m at h / 06 05 53 3 v 1 [ m at h . PR ] 1 8 M ay 2 00 6 Potential Theory of Truncated Stable Processes
R d with a Lévy density given by c|x| 1{|x|<1} for some constant c. In this paper we study the potential theory of truncated symmetric stable processes in detail. We prove a Harnack inequality for nonnegative harmonic nonnegative functions these processes. We also establish a boundary Harnack principle for nonnegative functions which are harmonic with respect to these processes in bounded conve...
متن کاملar X iv : m at h / 06 11 48 9 v 1 [ m at h . A P ] 1 6 N ov 2 00 6 GLOBAL EXISTENCE OF NULL - FORM WAVE EQUATIONS IN EXTERIOR DOMAINS
Abstract. We provide a proof of global existence of solutions to quasilinear wave equations satisfying the null condition in certain exterior domains. In particular, our proof does not require estimation of the fundamental solution for the free wave equation. We instead rely upon a class of Keel-Smith-Sogge estimates for the perturbed wave equation. Using this, a notable simplification is made ...
متن کاملua nt - p h / 00 06 06 5 v 1 1 4 Ju n 20 00 Dissipation and memory domains in the quantum model of brain
We shortly review the dissipative quantum model of brain and its parametric extension.
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تاریخ انتشار 2006