Nonuniqueness for nonnegative solutions of parabolic stochastic partial differential equations

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود 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

Postprocessing for Stochastic Parabolic Partial Differential Equations

We investigate the strong approximation of stochastic parabolic partial differential equations with additive noise. We introduce post-processing in the context of a standard Galerkin approximation, although other spatial discretizations are possible. In time, we follow [20] and use an exponential integrator. We prove strong error estimates and discuss the best number of postprocessing terms to ...

متن کامل

Uniqueness/nonuniqueness for Nonnegative Solutions of a Class of Second-order Parabolic Equations

We investigate uniqueness and nonuniqueness for nonnegative solutions of the equation ut = Lu+ V u− γu p in R × (0,∞); u(x, 0) = f(x), x ∈ R; u ≥ 0, where γ > 0, p > 1, γ, V ∈ C(R), 0 ≤ f ∈ C(R) and L = Pn i,j=1 ai,j(x) ∂ ∂xi∂xj + Pn i=1 bi(x) ∂ ∂xi with ai,j , bi ∈ C (R).

متن کامل

for parabolic partial differential equations

number of iterationsrequired to meet the convergencecriterion. the converged solutions from the previous step. This significantly reduces the interfacial boundaries, the initial estimates for the interfacial flux is given from scheme. Outside of the first time step where zero initial flux is assumed on all between subdomains are satisfied using a Schwarz Neumann-Neumam iteration method which is...

متن کامل

Non-uniqueness for Non-negative Solutions of Parabolic Stochastic Partial Differential Equations

Pathwise non-uniqueness is established for non-negative solutions of the parabolic stochastic pde ∂X ∂t = ∆ 2 X +XẆ + ψ, X0 ≡ 0 where Ẇ is a white noise, ψ ≥ 0 is smooth, compactly supported and non-trivial, and 0 < p < 1/2. We further show that any solution spends positive time at the 0 function.

متن کامل

Numerical Approximation of Parabolic Stochastic Partial Differential Equations

The topic of the talk were the time approximation of quasi linear stochastic partial differential equations of parabolic type. The framework were in the setting of stochastic evolution equations. An error bounds for the implicit Euler scheme was given and the stability of the scheme were considered.

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: Illinois Journal of Mathematics

سال: 2010

ISSN: 0019-2082

DOI: 10.1215/ijm/1348505538