Maximal Lp-regularity for a Cauchy problem for a second order parabolic operator on the t-axis is proven. Here, the elliptic operator, defined in a disk of R2, is the infinitesimal generator of an holomorphic semigroup. The main result is obtained in the context of Muckenhoupt weighthed norm estimates.
Maximal Lp-regularity for a parabolic evolution equation related to an elliptic discontinuous operator / O.Arena. - ELETTRONICO. - (2010).
Maximal Lp-regularity for a parabolic evolution equation related to an elliptic discontinuous operator
ARENA, ORAZIO
2010
Abstract
Maximal Lp-regularity for a Cauchy problem for a second order parabolic operator on the t-axis is proven. Here, the elliptic operator, defined in a disk of R2, is the infinitesimal generator of an holomorphic semigroup. The main result is obtained in the context of Muckenhoupt weighthed norm estimates.
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