A Maximum Principle for Bounded Solutions of the Telegraph Equations and Applications to Nonlinear Forcings
نویسندگان
چکیده
The existence of time-bounded solutions of nonlinear bounded perturbations of the telegraph equation with Neumann boundary conditions has recently been considered in [1]. The approach is based upon a Galerkin method combined with the use of some Lyapunov functionals. On the other hand, it has been proved in [7] that a maximum principle holds for the doubly 2π-periodic solutions of the telegraph equation utt − uxx + cut + λu = f t x c > 0 LT if and only if λ ∈ 0 ν c , where ν c is some number contained in the interval ( c2/4 c2/4+ 4 ] This maximum principle on a torus has been used
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