Parabolic regularization of a first order stochastic partial differential equation

Stochastic Analysis and Applications

Volumn 18, Issue 3, 2000, Pages 397-416

  Grecksch, W ^a   Tudor, C ^b  

^a MARTIN LUTHER UNIVERSITY HALLE WITTENBERG   (Germany)

^b UNIVERSITY OF BUCHAREST   (Romania)

Author keywords

First order stochastic partial differential equation; Generalized solution; Regularization

Indexed keywords

EID: 0034340928     PISSN: 07362994     EISSN: None     Source Type: Journal    
DOI: 10.1080/07362990008809677     Document Type: Article

References (14)

1. G. Da Prato and C. Tudor: Periodic and almost periodic solutions for semilinear stochastic evolution equations. Stochastic Anal. Appl. 13(1)(1995), 13-33.
2. G. Da Prato and J. Zabczyk: Stochastic Equations in Infinite Dimensions. Cambridge University Press. Cambridge, 1992.
3. C. Dellacherie and P.A. Meyer: Probability and Potential. North Holland Publ. Co., Amsterdam, 1982.
4. Yu. V. Egorov and M. A. Shubin: Partial Differential Equations, I. Springer-Verlag, Berlin 1992.
5. W. Grecksch and C. Tudor: Stochastic Evolution Equations. Mathematical Research, Vol. 85. Akademie Verlag, Berlin 1995.
6. N.V. Krylov and B.L. Rozowskij: On stochastic evolution equations (in Russian). Itogi nauki i techniki, serija sovremennych problemy matematiki 14, VINITI, Moskva 1979, 71-146.
7. H. Kunita: First order stochastic partial differential equations. In: Stochastic Analysis. Taniguchi Symp. Kataya 1982, 249-269.
8. J.L. Lions: Optimal Control of Systems Governed by Partial Differential Equations. Springer-Verlag. Berlin-New York, 1971.
9. M. Metivier: Semimartingales. Walter de Gruyter. Berlin-New York, 1982.
10. E.S. Messerle and V.S. Neronov: On the solvability of a first order hyperbolic equation (in Russian). In: Function Theory, Equations of Mathematical Physics and Applications. Alma-Ata 1987, 35-39.
11. M. Musiela and A.A. Brace: A multifactor Gauss-Markov implementation of Heath, Jarrow and Morton. Mathematical Finance Vol. 4, Nr. 3, 1994. 259-283.
12. P. Protter: Stochastic Integration and Differential Equations. Springer-Verlag. Berlin-Heidelberg-New York, 1992.
13. L. Schiefner: Methoden zur Lösung stochastischer partieller Differential-gleichungen 1. Ordnung. Martin-Luther-Universität Halle-Wittenberg. Diplomarbeit 1997.
14. E. Zeidler: Applied Functional Analysis. Main Principles and Their Applications. Springer-Verlag. New York, 1995.