We establish existence and some regularity property of fundamental matrix solutions for higher order parabolic systems in the whole space with coecients depending only on time variable in a measurable way. Applications to Tikhonov type uniqueness result are given. Using potential based techniques, we also inves- tigate the solvability in spaces with mixed norms.
ON THE FUNDAMENTAL MATRIX SOLUTION FOR HIGHER ORDER PARABOLIC SYSTEMS
BOCCIA, SERENA;
2014
Abstract
We establish existence and some regularity property of fundamental matrix solutions for higher order parabolic systems in the whole space with coecients depending only on time variable in a measurable way. Applications to Tikhonov type uniqueness result are given. Using potential based techniques, we also inves- tigate the solvability in spaces with mixed norms.File in questo prodotto:
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