Vol. 10, No. 1/3, Special Conference Issue: Trento, Italy, 1984: Integrodifferential Evolution Equations and Applications (1985), pp. 73-97 (25 pages) In the last decade, the theory of abstract linear ...

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), ...

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 ...