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STATISTICALLY WELLSET CAUCHY PROBLEMS
WAVE PROPAGATION IN RANDOM ANISOTROPIC MEDIA
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a-field admissible homogeneous Appendix apply assume bilocal approximation Borel algebra Borel sets Borel structure Borel subset boundary C0-semigroup Caratheodory classical component condition consider continuous linear convergence Corollary correlation countable DE's defined definition denote differential equations differential games dual Dyson equation exists finite Fourier transform Frechet space function spaces given Green's dyadic Green's function harmonic Hence implies integral Lebesgue Lemma locally convex mapping Markov Math mathematical medium metric Montel space nonnegative normal obtained outer regular players Polish space potential theory probabilistic probability measure Proof properties prove pursuit-evasion random function random solution regular measure regular probability measure result satisfies Section semigroup sesquilinear spectral matrix measure spectrum standard Borel space statistically well set strong topology tempered distributions tensor tion turbulence unique vector fields velocity field wave weak-star topology well-set Cauchy problem