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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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Regularity Theory and Stochastic Flows for Parabolic /ISPDES/n (Hardcover)
Loot Price: R2,097
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Regularity Theory and Stochastic Flows for Parabolic /ISPDES/n (Hardcover)
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Total price: R2,117
Discovery Miles: 21 170
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The book treats two topics in the theory of stochastic partial
differential equations: space-regularity of solutions and existence
of stochastic flows. The equations considered in the book are
linear parabolic with multiplicative noise, like those arising in
non-linear filtering or diffusion models in randomly moving media.
Regularity theory in Sobolev spaces is extensively investigated,
for homogeneous and non-homogeneous boundary value problems, with a
detailed analysis of the new geometrical conditions on coefficients
arising as a consequence of the stochaticity. The book provides an
account of regularity results that may represent a useful reference
for the researcher in stochastic partial differential equations.
Regularity theory is then applied to prove the existence of
stochastic flows. In spite of the variety of results on stochastic
flows obtained by this method, several open problems are pointed
out, with the hope of stimulating further research on this subject.
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