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Department of Mathematics

David Logan: An introduction to nonlinear partial differential equations 2nd ed
The second edition of David Logan's popular graduate text on nonlinear partial differential equations appeared in 2008. The new edition contains additional applications from the life sciences, but it retains its original goal of bringing an accessible book to students and researchers in the pure and applied sciences. The key topics are: a review of linear PDEs, first order PDEs, classical and weak solutions, hyperbolic systems, nonlinear diffusion and nonlinear elliptic equations. Applications include topics in traffic flow, combustion, biology, fluid mechanics, quantum mechanics, heat transfer, chemical reactor theory, age structure, epidemiology and pattern formation. The book contains many exercises of varying degrees of difficulty.

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