Quasilinear parabolic systems |
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Authors: | John R. Cannon Wayne T. Ford Alan V. Lair |
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Affiliation: | Department of Mathematics, University of Texas at Austin, Austin, Texas 78712 USA;Department of Mathematics, Texas Tech University, Lubbock, Texas 79409 USA |
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Abstract: | Parabolic systems of partial differential equations are developed and applications are discussed. The systems are quasilinear in divergence form with high-order coefficient matrices which are neither symmetric nor sparse. Weak existence, uniqueness, and stability are established for an appropriate initial-boundary value problem. |
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