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- W2109968447 abstract "Nets of Schrödinger C 0 -semigroups ( S ε ) ε with the polynomial growth with respect to ε are used for solving the Cauchy problem (∂ t − Δ) U + VU = f ( t, U ), U (0, x ) = U 0 ( x ) in a suitable generalized function algebra (or space), where V and U 0 are singular generalized functions while f satisfies a Lipschitz-type condition. The existence of distribution solutions is proved in appropriate cases by the means of white noise calculus as well as classical energy estimates." @default.
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- W2109968447 date "2005-08-01" @default.
- W2109968447 modified "2023-09-23" @default.
- W2109968447 title "Heat equation with singular potential and singular data" @default.
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