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Quasilinear parabolic systems
Authors:John R Cannon  Wayne T Ford  Alan V Lair
Institution:Department of Mathematics, University of Texas at Austin, Austin, Texas 78712 USA;Department of Mathematics, Texas Tech University, Lubbock, Texas 79409 USA
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.
Keywords:
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