On parabolic equations for measures. (English) Zbl 1323.35058
Summary: A new existence result is established for weak parabolic equations for probability measures on \(\mathbb R^d\). A priori estimates for solutions of such equations are obtained.
This is a continuation of the authors’ paper [Proc. Lond. Math. Soc., III. Ser. 88, No. 3, 753–774 (2004; Zbl 1072.35076)] giving a considerably weaker sufficient condition for the existence of solutions.
This is a continuation of the authors’ paper [Proc. Lond. Math. Soc., III. Ser. 88, No. 3, 753–774 (2004; Zbl 1072.35076)] giving a considerably weaker sufficient condition for the existence of solutions.
MSC:
| 35K15 | Initial value problems for second-order parabolic equations |
| 35R06 | PDEs with measure |
| 47D07 | Markov semigroups and applications to diffusion processes |
| 60J35 | Transition functions, generators and resolvents |
| 60J60 | Diffusion processes |
Keywords:
new existence resultCitations:
Zbl 1072.35076References:
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