A variational approach to stochastic nonlinear parabolic problems

作者：Barbu Viorel^*

来源：Journal of Mathematical Analysis and Applications, 2011, 384(1): 2-15.

DOI：10.1016/j.jmaa.2010.07.016

• Stochastic equation
• Porous media equation
• Wiener process
• Convex function

This work is concerned with an optimal control approach to stochastic nonlinear parabolic diffusion equations with monotonically increasing nonlinearity. This approach leads to sharper existence and uniqueness results under minimal growth conditions on nonlinear diffusion coefficients.

• 出版日期2011-12-1