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Linear Semigroups,inite dimensional versions of solutions of the finite dimensional linear ordinary differential equation ... = ..In particular, the ..-semigroup corresponds to the solution operator or the fundamental solution matrix, and the infinitesimal generator corresponds to the linear coefficient matrix .. We指耕作 发表于 2025-3-22 15:16:17
Basic Theory of Evolutionary Equations,f ..-semigroups. As we have seen, this theory allows one to construct mild solutions of many linear partial differential equations with constant coefficients. Our objective in this chapter is to generalize this theory so that it applies first to the linear inhomogeneous equation . and then the nonli指耕作 发表于 2025-3-22 20:19:15
Nonlinear Partial Differential Equations,ally interested here in those nonlinear evolutionary equations which arise in the analysis of two broad classes of partial differential equations: parabolic evolutionary equations and hyperbolic evolutionary equations. While our usage of the terms “parabolic” and “hyperbolic” in this context is motiBmd955 发表于 2025-3-22 23:14:40
Navier-Stokes Dynamics,sfer and its effects on global climate modeling and weather prediction; 2) flows of multiphased fluids and oil recovery; 3) behavior of chemical solutes in lakes, harbors and river basins; 4) geothermal consequences of magma flows; and 5) fluid flows in thin films. In order to understand the modelin子女 发表于 2025-3-23 01:48:57
Major Features of Dynamical Systems,corresponding theories for the finite dimensional problems appear in a number of sources, as noted in the Commentary Section. Our emphasis here will be on the infinite dimensional theory, in the context of general nonlinear evolutionary equations. Most of the applications will be to the theory of so用手捏 发表于 2025-3-23 07:12:31
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