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Items for "weak solution"

Strong, mild and weak solutions of backward stochastic evolution equations

Four types of solutions ( mild, weak, weak mild and strong ) of the so-called backward stochastic evolution equations in infinite dimensions are proved to exist...

Keywords: Backward stochastic evolution equation, mild solution, weak solution, weak mild solution, strong solution

06/2005 | Random Operators and Stochastic Equations, Walter de Gruyter
Remark on uniqueness of weak solutions to the Navier–Stokes equations

Consider the Navier–Stokes equations with the initial data a∈Lσ2(Rd)...

Keywords: uniqueness, Navier-Stokes equations, weak solution, multiplier space

01/2008 | Analysis, Oldenbourg Wissenschaftsverlag
Weak solutions and a YamadaWatanabe theorem for FBSDEs

We prove a YamadaWatanabe theorem for forward-backward stochastic differential equations (FBSDEs)...

Keywords: Forward-backward stochastic differential equation, weak solution, YamadaWatanabe theorem, Girsanov theorem, Burgers equation

10/2007 | Random Operators and Stochastic Equations, Walter de Gruyter