L p Theory for Super-Parabolic Backward Stochastic Partial Differential Equations in the Whole Space

L p Theory for Super-Parabolic Backward Stochastic Partial Differential Equations in the Whole Space This paper is concerned with semi-linear backward stochastic partial differential equations (BSPDEs for short) of super-parabolic type. An L p -theory is given for the Cauchy problem of BSPDEs, separately for the case of p ∈(1,2) and for the case of p ∈(2,∞). A comparison theorem is also addressed. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Applied Mathematics and Optimization Springer Journals

L p Theory for Super-Parabolic Backward Stochastic Partial Differential Equations in the Whole Space

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Publisher
Springer-Verlag
Copyright
Copyright © 2012 by Springer Science+Business Media, LLC
Subject
Mathematics; Numerical and Computational Physics; Systems Theory, Control; Calculus of Variations and Optimal Control; Optimization; Theoretical, Mathematical and Computational Physics; Mathematical Methods in Physics
ISSN
0095-4616
eISSN
1432-0606
D.O.I.
10.1007/s00245-011-9154-9
Publisher site
See Article on Publisher Site

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