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math.AP2013★ 6 cited
Fredholm alternative, semilinear elliptic problems, and Wentzell boundary conditions
Ciprian G. Gal, Gisele Ruiz Goldstein, Jerome A. Goldstein +2
We give necessary and sufficient conditions for the solvability of some semilinear elliptic boundary value problems involving the Laplace operator with linear and nonlinear highest…
math.AP2013
Asymptotic parabolicity for strongly damped wave equations
Genni Fragnelli, Gisèle Ruiz Goldstein, Jerome A. Goldstein +1
For a positive selfadjoint operator on a Hilbert space, \[ \frac{d^2u}{dt}(t) + 2 F(S)\frac{du}{dt}(t) + S^2u(t)=0 \] describes a class of wave equations with strong friction o…