Journal
STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS
Volume 5, Issue 2, Pages 256-277Publisher
SPRINGER
DOI: 10.1007/s40072-016-0087-9
Keywords
Fully non-linear stochastic partial differential equations; Eikonal equations; Pathwise stability; Rough paths
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Funding
- European Research Council [StG-258237/CoG-683166, StG-258237]
- DFG research unit [FOR2402]
- National Science Foundation Grant [DMS-1266383]
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We study the existence and uniqueness of the stochastic viscosity solutions of fully nonlinear, possibly degenerate, second order stochastic pde with quadratic Hamiltonians associated to a Riemannian geometry. The results are new and extend the class of equations studied so far by the last two authors.
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