SIAM Journal on Applied Mathematics, Vol. 48, No. 6 (Dec., 1988), pp. 1227-1243 (17 pages) The aim of this paper is to contribute to the foundation of the asymptotic methods for initial-boundary value ...

Recall that the solution of the initial-value problem \(y^\prime=ky\text{,}\) \(y(0)=A\text{,}\) is given by \(\ds y=Ae^{kx}\text{.}\) Solve the following problems ...

We study the initial boundary value problem of semilinear hyperbolic equations utt – Δu = f(u) and semilinear parabolic equations ut – Δu = f(u) with critical initial data E(0) = d (or J(u₀) = d), ...