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Fatou theorems for parabolic equations
Author(s):
Caroline
Sweezy
Journal:
Proc. Amer. Math. Soc.
124
(1996),
2343-2355.
MSC (1991):
Primary 35K20, 42K25
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Abstract:
For elliptic parabolic operators with time dependent coefficients, bounded and measurable, the absolute continuity of the two caloric measures plus a Fatou theorem are shown to hold on the parabolic boundary of a smooth cylinder given a Carleson-type condition on the coefficients of the operators, and assuming one of the measures is a center doubling measure. Given a stronger Carleson condition, and no doubling assumption, another kind of Fatou theorem result holds. The method of proof follows that of Fefferman, Kenig and Pipher.
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Additional Information:
Caroline
Sweezy
Affiliation:
Department of Mathematical Sciences, New Mexico State University, Las Cruces, New Mexico 88003
Email:
csweezy@nmsu.edu
DOI:
10.1090/S0002-9939-96-03687-8
PII:
S 0002-9939(96)03687-8
Received by editor(s):
May 18, 1994
Received by editor(s) in revised form:
December 7, 1994
Communicated by:
J. Marshall Ash
Copyright of article:
Copyright
1996,
American Mathematical Society
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