Generalized telegraph equation and the Sova-Kurtz version of the Trotter-Kato theorem
Tom 64 / 1996
Annales Polonici Mathematici 64 (1996), 37-45
DOI: 10.4064/ap-64-1-37-45
Streszczenie
The Sova-Kurtz approximation theorem for semigroups is applied to prove convergence of solutions of the telegraph equation with small parameter. Convergence of the solutions of the diffusion equation with varying boundary conditions is also considered.