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- W2071402912 abstract "We consider two classes of second-order parabolic matrix-vector systems (with solutions , ) that can be reduced to a single second-order parabolic equation for a scalar function , where is a fixed stochastic constant vector. We consider the first boundary-value problem for a scalar second-order parabolic equation (with unbounded coefficients) in a domain unbounded with respect to under the assumption of strong absorption at infinity. We obtain an a priori estimate for solutions of the first boundary-value problem in the generalized Tikhonov-Tacklind classes. (The problem under investigation has at most one solution in these classes.)" @default.
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- W2071402912 date "2001-08-31" @default.
- W2071402912 modified "2023-10-16" @default.
- W2071402912 title "A priori estimates for the solution of the first boundary-value problem for a class of second-order parabolic systems" @default.
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- W2071402912 doi "https://doi.org/10.1070/im2001v065n04abeh000348" @default.
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