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Global Regularity and Bounds for Solutions of Parabolic Equations for Probability Measures
| Content Provider | Semantic Scholar |
|---|---|
| Author | Bogachev, Vladimir Röckner, Michael |
| Copyright Year | 2005 |
| Abstract | for all smooth functions u with compact support in (0, 1) × Rd. This equation is satisfied for the transition probabilities of the diffusion process associated with L. We show that under broad assumptions μ has the form μ = %(t, x) dt dx, where the function x 7→ %(t, x) is Sobolev, |∇x%(x, t)|2/%(t, x) is Lebesgue integrable over [0, τ ] × Rd, and % ∈ Lp([0, τ ] × Rd) for all p ∈ [1,+∞) and τ < 1. Moreover, a sufficient condition for the uniform boundedness of % on [0, τ ]× Rd is given. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0512264v1.pdf |
| Alternate Webpage(s) | https://bibos.math.uni-bielefeld.de/preprints/05-11-198.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Emoticon Estimated LU decomposition Markov chain Parabolic antenna Probability Solutions |
| Content Type | Text |
| Resource Type | Article |
