Nonlinear evolution equations with gradient coupled noise

Benth FE, Deck T, Pothoff J, Streit L (1998)
LETTERS IN MATHEMATICAL PHYSICS 43(3): 267-278.

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We show existence and uniqueness of solutions for a class of nonlinear evolution equations with gradient coupled noise. Our results are obtained by using a simple transformation relating the equation under consideration to an underlying deterministic partial differential equation. Both the It (o) over cap and the Stratonovich conventions are treated. Several examples show that the properties of solutions for It (o) over cap equations can differ significantly from those of Stratonovich equations.
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Benth FE, Deck T, Pothoff J, Streit L. Nonlinear evolution equations with gradient coupled noise. LETTERS IN MATHEMATICAL PHYSICS. 1998;43(3):267-278.
Benth, F. E., Deck, T., Pothoff, J., & Streit, L. (1998). Nonlinear evolution equations with gradient coupled noise. LETTERS IN MATHEMATICAL PHYSICS, 43(3), 267-278. doi:10.1023/A:1007456027371
Benth, F. E., Deck, T., Pothoff, J., and Streit, L. (1998). Nonlinear evolution equations with gradient coupled noise. LETTERS IN MATHEMATICAL PHYSICS 43, 267-278.
Benth, F.E., et al., 1998. Nonlinear evolution equations with gradient coupled noise. LETTERS IN MATHEMATICAL PHYSICS, 43(3), p 267-278.
F.E. Benth, et al., “Nonlinear evolution equations with gradient coupled noise”, LETTERS IN MATHEMATICAL PHYSICS, vol. 43, 1998, pp. 267-278.
Benth, F.E., Deck, T., Pothoff, J., Streit, L.: Nonlinear evolution equations with gradient coupled noise. LETTERS IN MATHEMATICAL PHYSICS. 43, 267-278 (1998).
Benth, FE, Deck, T, Pothoff, J, and Streit, Ludwig. “Nonlinear evolution equations with gradient coupled noise”. LETTERS IN MATHEMATICAL PHYSICS 43.3 (1998): 267-278.
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