A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems i...A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems is studied.展开更多
The ranges of the propagation operator for the diffusion equation are characterized. Thus, the formal inversion formula for the diffusion equation is made precise in Lp space setting.
文摘A class of singularly perturbed initial boundary value problems for the reaction diffusion equations in a part of domain are considered. Using the operator theory the asymptotic behavior of solution for the problems is studied.
文摘The ranges of the propagation operator for the diffusion equation are characterized. Thus, the formal inversion formula for the diffusion equation is made precise in Lp space setting.
