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We study the compact support property for solutions of the following stochastic partial differential equations: partial derivative tu=aijuxixj(t,x)+biuxi(t,x)+cu+h(t,x,u(t,x))F-center dot(t,x),(t,x)is an element of(0,infinity)xRd,where F-center dot is a sp ...
We investigate the strict positivity and the compact support property of solutions to the one-dimensional nonlinear stochastic heat equation: (Formula presented), with nonnegative and compactly supported initial data u0, where Ẇ is the space-time white noi ...
