×

Asymptotics for \(\square=m^2u+G(x,t,u,u_x,u_t)\). II: Scattering theory. (English) Zbl 0241.35015


MSC:

35G25 Initial value problems for nonlinear higher-order PDEs
35B40 Asymptotic behavior of solutions to PDEs
35P25 Scattering theory for PDEs
35C15 Integral representations of solutions to PDEs
PDFBibTeX XMLCite
Full Text: EuDML

References:

[1] J.M. Chadam, Asymtotics for \square u = m2u + G (x, t, u, u t, ux), I. Global l Existence and De-J. M. cay, Ann. Sc. Norm. summary in Bull. Amer. Math. Soc., 76, 1032-1035, (1970). Zbl0198.44304 · Zbl 0198.44304
[2] I.E. Segal, Dispersion for Non-linear Relativistic Equations, II, Ann. Scient. Ec. Norm. Sup., ser. 4, 1, 459-497, (1968). Zbl0179.42302 MR243788 · Zbl 0179.42302
[3] W.A. Strauss, Decay and Asympotics for \square u = F (u), J. Functional Anal., 2, 409-457, (1968). Zbl0182.13602 · Zbl 0182.13602
[4] I.E. Segal, Non-linear Semi-groups, Ann. Math., 78389-364, (1963). Zbl0204.16004 MR152908 · Zbl 0204.16004
[5] K. Yosida, Functional Analysis, Springer, Berlin-Göttingen-Heidelberg, 1965. Zbl0126.11504 · Zbl 0126.11504
[6] N. Shenk and D. Thoe, Outgoing Solutions of (- \Delta + q - k2) u = f in an Exterior Domain, J. Math Anal. Applic, 31, 81-116, (1970). Zbl0201.13202 · Zbl 0201.13202
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.