Convergence to SPDEs in Stratonovich Form

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Convergence to SPDEs in Stratonovich form

We consider the perturbation of parabolic operators of the form ∂t + P (x,D) by large-amplitude highly oscillatory spatially dependent potentials modeled as Gaussian random fields. The amplitude of the potential is chosen so that the solution to the random equation is affected by the randomness at the leading order. We show that, when the dimension is smaller than the order of the elliptic pseu...

متن کامل

On Divergence Form SPDEs with VMO Coefficients

We present several results on solvability in Sobolev spaces W 1 p of SPDEs in divergence form in the whole space.

متن کامل

On Divergence Form Spdes with Growing

We consider divergence form uniformly parabolic SPDEs with bounded and measurable leading coefficients and possibly growing lower-order coefficients in the deterministic part of the equations. We look for solutions which are summable to the second power with respect to the usual Lebesgue measure along with their first derivatives with respect to the spatial variable.

متن کامل

Convergence of Legendre wavelet collocation method for solving nonlinear Stratonovich Volterra integral equations

In this paper, we apply Legendre wavelet collocation method to obtain the approximate solution of nonlinear Stratonovich Volterra integral equations. The main advantage of this method is that Legendre wavelet has orthogonality property and therefore coefficients of expansion are easily calculated. By using this method, the solution of nonlinear Stratonovich Volterra integral equation reduces to...

متن کامل

Solutions to a Class of Multidimensional Spdes

In this paper, we consider a class of multi-dimensional SPDEs of parabolic type with space-time white noise. We discretize the spacetime white noise to independently identically distributed time white noise located on configuration space and seek the solution to the nonlinear SPDE with such a family of discretized time noises. Then we prove that the laws of the above solutions are tight when th...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Communications in Mathematical Physics

سال: 2009

ISSN: 0010-3616,1432-0916

DOI: 10.1007/s00220-009-0898-x