Asymptotic properties of solutions for some reaction-diffusion systems

[目次]

  • Table of Contents
  • List of Symbols / p4
  • Introduction / p1
  • Chapter I.Solvability and Smoothing Effect for Semilinear Parabolic Equations / p7
  • §1.Introduction / p7
  • §2.Abstract Theory / p9
  • §3.Preliminaries / p11
  • §4.Proofs of Theorems 2.1, 2.2 and 2.3 / p12
  • §5.Applications to (IBVP) / p19
  • Chapter II.Uniform Convergence Properties of Global Solutions for Some Reaction-Diffusion Systems with Homogeneous Neumann Boundary conditions / p27
  • §1.Introduction / p27
  • §2.Existence of Global Solutions / p30
  • §3.Uniform Convergence Properties of Global Solutions / p32
  • Chapter III.Rate of Convergence of Global Solutions for Some Reaction-Diffusion Systems with Homogeneous Neumann Boundary Conditions / p37
  • §1.Introduction / p37
  • §2.Convergence with Exponential Rate / p39
  • §3.Convergence with Polynomial Rate / p44
  • 3.1.The Case(P.I)with [数式] and n>1 / p44
  • 3.2.The Case (P.I) with [数式] / p45
  • 3.3.The Case(P.2)with n>1 / p50
  • §4.Estimates for([数式])(t) / p50
  • 4.1.The Case(P.1) / p50
  • 4.2.The Case(P.2)with n>1 / p51
  • Chapter IV.Large-Time Approximation of Global Solutions for Some Reaction-Diffusion Systems with Homogeneous Neumann Boundary Conditions / p54
  • §1.Introduction / p54
  • §2.The Case(P.2)with n>1 / p57
  • 2.1.The Case of Small Initial Data / p58
  • 2.2.The Case of Large Initial Data / p66
  • §3.The Case(P.1) / p70
  • 3.1.The Case [数式] with Small Initial Data / p73
  • 3.2.The Case [数式] with Large Initial Data / p79
  • 3.3.The Case [数式]and n > 1 / p82
  • Chapter V.Rate of Convergence of A Global Solution for A Reaction-Diffusion System Related to A Diffusive Epidemic Model / p87
  • §1.Introduction / p87
  • §2.Existence of A Unique Global Solution and Its Convergence Property / p89
  • §3.Rate of Convergence / p94
  • §4.Permanence of Positivity / p102
  • References / p106

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この本の情報

書名 Asymptotic properties of solutions for some reaction-diffusion systems
著作者等 星野 弘喜
書名別名 反応拡散方程式系の解の漸近挙動の研究
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