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XXII.—A Priori Estimates and Nonlinear Parabolic Equations of Arbitrary Order

Published online by Cambridge University Press:  14 February 2012

D. E. Edmunds  and
C. A. Stuart
D. E. Edmunds
Affiliation:
Mathematics Division, University of Sussex
C. A. Stuart
Affiliation:
Mathematics Division, University of Sussex
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Synopsis

In this paper it is shown that the question of the existence of a classical solution of the first initial-boundary value problem for a non-linear parabolic equation may be reduced to the problem of the derivation of suitable a priori bounds.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 69 , Issue 4 , 1972 , pp. 287 - 293
Copyright
Copyright © Royal Society of Edinburgh 1972

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References

References to Literature

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