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math.AP2018
On the Cauchy problem for stochastic integrodifferential parabolic equations in the scale of Lp-spaces of generalized smoothness
R. Mikulevicius, C. Phonsom
Stochastic parabolic integro-differential problem is considered in the whole space. By verifying Hörmander condition, the existence and uniqueness is proved in Lp-spaces of functio…
math.AP2016
On Lp -theory for parabolic and elliptic integro-differential equations with scalable operators in the whole space
R. Mikulevicius, C. Phonsom
Elliptic and parabolic integro-differential model problems are considered in the whole space. By verifying Hörmander condition, the existence and uniqueness is proved in L_{p}-spac…