Nonlinear systems of partial differential equations : applications to life and physical sciences
发布日期:2010-12-23 浏览次
【内容简介】The book presents the theory of diffusion-reaction equations starting from the Volterra-Lotka systems developed in the eighties for Dirichlet boundary conditions. It uses the analysis of applicable systems of partial differential equations as a starting point for studying upper-lower solutions, bifurcation, degree theory and other nonlinear methods. It also illustrates the use of semigroup, stability theorems and W2ptheory. Introductory explanations are included in the appendices for non-expert readers.
【目次】* Positive Solutions for Systems of Two Equations
* Positive Solutions for Large Systems of Equations
* Optimal Control for Nonlinear Systems of Partial Differential Equations
* Persistence, Upper and Lower Estimates, Blowup, Cross-Diffusion and Degeneracy
* Traveling Waves, Systems of Waves, Invariant Manifolds, Fluids and Plasma
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