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AuthorPao, C. V. author
TitleNonlinear Parabolic and Elliptic Equations [electronic resource] / by C. V. Pao
ImprintBoston, MA : Springer US, 1992
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Descript XV, 777 p. online resource


In response to the growing use of reaction diffusion problems in many fields, this monograph gives a systematic treatment of a class of nonlinear parabolic and elliptic differential equations and their applications these problems. It is an important reference for mathematicians and engineers, as well as a practical text for graduate students


1 Reaction Diffusion Equations -- 2 Parabolic Boundary-Value Problems -- 3 Elliptic Boundary-Value Problems -- 4 Equations with Nonlinear Boundary Conditions -- 5 Stability Analysis -- 6 Blowing-Up Behavior of Solutions -- 7 Parabolic and Elliptic Equations in Unbounded Domains -- 8 Coupled Systems of Reaction Diffusion Equations -- 9 Systems with Nonlinear Boundary Conditions -- 10 Stability and Asymptotic Behavior of Solutions -- 11 Asymptotic Limit and Blowing-Up Behavior of Solutions -- 12 Applications of Coupled Systems to Model Problems -- References

Mathematics Mathematical analysis Analysis (Mathematics) Mathematics Analysis


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