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On A parabolic equation with a singular lower order term
Author(s):
Qi
Zhang
Journal:
Trans. Amer. Math. Soc.
348
(1996),
2811-2844.
MSC (1991):
Primary 35K10
MathSciNet review:
1360232
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Abstract:
We obtain the existence of the weak Green's functions of parabolic equations with lower order coefficients in the so called parabolic Kato class which is being proposed as a natural generalization of the Kato class in the study of elliptic equations. As a consequence we are able to prove the existence of solutions of some initial boundary value problems. Moreover, based on a lower and an upper bound of the Green's function, we prove a Harnack inequality for the non-negative weak solutions.
References:
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Additional Information:
Qi
Zhang
Affiliation:
Department of Mathematics, Purdue University, West Lafayette, Indiana 47907
Email:
zhangq@math.purdue.edu
DOI:
10.1090/S0002-9947-96-01675-3
PII:
S 0002-9947(96)01675-3
Received by editor(s):
September 26, 1994
Received by editor(s) in revised form:
May 28, 1995
Copyright of article:
Copyright
1996,
American Mathematical Society
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