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A priori estimates for quasilinear degenerate parabolic equations
Author(s):
Maria
Manfredini;
Andrea
Pascucci
Journal:
Proc. Amer. Math. Soc.
131
(2003),
1115-1120.
MSC (2000):
Primary 35K55;
Secondary 35K65
Posted:
November 13, 2002
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Abstract:
We prove some maximum and gradient estimates for classical solutions to a wide class of quasilinear degenerate parabolic equations, including first order ones. The proof is elementary and exploits the smallness of the domain in the time direction.
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Additional Information:
Maria
Manfredini
Affiliation:
Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Email:
manfredi@dm.unibo.it
Andrea
Pascucci
Affiliation:
Dipartimento di Matematica, Università di Bologna, Piazza di Porta S. Donato 5, 40126 Bologna, Italy
Email:
pascucci@dm.unibo.it
DOI:
10.1090/S0002-9939-02-06922-8
PII:
S 0002-9939(02)06922-8
Received by editor(s):
October 15, 2001
Posted:
November 13, 2002
Additional Notes:
This work was supported by the University of Bologna, funds for selected research topics
Communicated by:
David S. Tartakoff
Copyright of article:
Copyright
2002,
American Mathematical Society
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