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| Volume 7, Number 3, December 2006, pp. 515-524 | ||||||||
| Maria Alessandra Ragusa | ||||||||
| Key words: | ||||||||
| Morrey spaces, well-posedness, discontinuous coefficients. | ||||||||
| Mathematices Subject Classification: Primary 33J30, 35J45, 31B10. Secondary 43A15, 34A30 | ||||||||
|
||||||||
| Volume 7, Number 3, December 2006, pp. 515-524 | ||||||||
| Maria Alessandra Ragusa | ||||||||
| Key words: | ||||||||
| Morrey spaces, well-posedness, discontinuous coefficients. | ||||||||
| Mathematices Subject Classification: Primary 33J30, 35J45, 31B10. Secondary 43A15, 34A30 | ||||||||
|
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| Abstract: | |||
| We consider parabolic equations with discontinuous coefficients and prove that if the known term belongs to the Morrey space Lp,λ then the first order derivatives of the solution of an associate Dirichlet problem belong to the same space. We also obtain local Hölder continuity for solution. | |||
| Solvability of a Dirichlet problem for divergence form parabolic equation | ||