International Journal of Functional Analysis, Operator Theory and Applications
Volume 5, Issue 2, Pages 103 - 117
(June 2013)
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ON THE  -CONTRACTIVITY OF BOUNDED SMOOTH SOLUTIONS OF QUASILINEAR PARABOLIC EQUATIONS
L. Schütz, J. S. Ziebell, J. P. Zingano and P. R. Zingano
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Abstract:
We derive general  -contractivity principles for bounded smooth solutions of (possibly degenerate) parabolic initial value problems
with  positive semidefinite, under broad conditions on A, f. Some related results and open problems are also given. |
| Keywords and phrases: advection-diffusion equations, initial value problems, L1-contractivity, heterogeneous media, bounded smooth solutions, quasilinear parabolic equations. |
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