Strong solutions to the stochastic quantization equations
G Da Prato, A Debussche - The Annals of Probability, 2003 - projecteuclid.org
The Annals of Probability, 2003•projecteuclid.org
… We prove the existence and uniqueness of a strong solution of the stochastic
quantization equation in dimension 2 for almost all initial data with respect to the invariant
measure. The method is based on a fixed point result in suitable Besov spaces. … In this
article, we consider stochastic quantization equations in space dimension 2 with periodic
boundary conditions. These are reaction– diffusion equations driven by a space–time white
noise. It is well known that the …
quantization equation in dimension 2 for almost all initial data with respect to the invariant
measure. The method is based on a fixed point result in suitable Besov spaces. … In this
article, we consider stochastic quantization equations in space dimension 2 with periodic
boundary conditions. These are reaction– diffusion equations driven by a space–time white
noise. It is well known that the …
We prove the existence and uniqueness of a strong solution of the stochastic quantization equation in dimension 2 for almost all initial data with respect to the invariant measure. The method is based on a fixed point result in suitable Besov spaces.
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