Integral representation and initial values of solutions of 2\(\overrightarrow b\)-parabolic systems
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Necessary and sufficient conditions are found under which the classical solutions of 2\(\overrightarrow b\)-parabolic systems, defined in a halfopen layer, can be represented as the Poisson integrals of functions or generalized Borel measures from the special spaces Lpk(0,a), 1 < p ≤ ∞, or Mk(0,a). It is elucidated as to in what sense the solutions, representable by Poisson integrals, satsfy the initial conditions.
KeywordsIntegral Representation Classical Solution Borel Measure Parabolic System Special Space
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