Markus C. Kunze
Published 2012-09-21Version 1
We prove pathwise uniqueness and strong existence of solutions for stochastic reaction-diffusion systems with locally Lipschitz continuous reaction term of polynomial growth and H\"older continuous multiplicative noise. Under additional assumptions on the coefficients, we also prove positivity of the solutions.
On semilinear SPDEs with nonlinearities with polynomial growth
Asymptotic shape for subadditve processes on groups of polynomial growth
Locality of percolation for graphs with polynomial growth
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