References
V. Barbu, Continuous perturbations of nonlinearm-accretive operators in Banach spaces, to appear.
F. Browder andW. Strauss, Scattering for non-linear wave equations,Pacific J. Math. 13 (1963), 23–43.
N. Dunford andJ. Schwartz,Linear Operators Part I, Interscience, New York, 1957.
T. Kato,Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966.
D. Lovelady, Asymptotic equivalence for two nonlinear systems, to appear.
D. Lovelady, The asymptotic behavior of the unbounded solutions of a nonlinear system, to appear.
D. Lovelady, Product integrals for an ordinary differential equation in a Banach space, to appear.
D. Lovelady andR. Martin, A global existence theorem for a nonautonomous differential equation in a Banach space,Proc. Amer. Math. Soc., to appear.
C. Monlezun, Temporally inhomogeneous scattering theory, Dissertation, Tulane University, 1972.
I. Segal, Non-linear semi-groups,Ann. of Math. 78 (1963), 339–364.
G. Webb, Continuous nonlinear perturbations of linear accretive operators in Banach spaces,J. Functional Anal. 10 (1972), 191–203.
Author information
Authors and Affiliations
Additional information
This research was supported in part by the National Science Foundation, Grant NSF No. GP-33653.
Rights and permissions
About this article
Cite this article
Webb, G.F. Abstract scattering for nonlinear evolution equations. Math. Systems Theory 8, 347–352 (1974). https://doi.org/10.1007/BF01780581
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01780581