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Strauss, W. A.

Decay and asymptotics for \(\square u = F(u)\). (English) Zbl 0182.13602

J. Funct. Anal. 2, 409-457 (1968).
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Cited in 113 Documents

Keywords:

partial differential equations
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References:

[1] Bateman, H., (Higher Transcendental Functions, Vol. 2 (1953), MacGraw-Hill: MacGraw-Hill New York) · Zbl 0051.30303
[2] Brodsky, A. R., The existence of wave operators for non-linear equations, Pacific J. Math., 19, 1-12 (1966) · Zbl 0151.20901
[3] Browder, F. E.; Strauss, W. A., Scattering for non-linear wave equations, Pacific J. Math., 13, 23-43 (1963) · Zbl 0115.08302
[4] Dunford, N.; Schwartz, J., (Linear Operators, Vol. 2 (1963), Interscience: Interscience New York) · Zbl 0128.34803
[5] Gagliardo, E., Propriétà di algune classi di funzioni in più variàbili, Ricerche Mat., 7, 102-137 (1958) · Zbl 0089.09401
[6] Jörgens, K., Das Anfangswertproblem im Grossen für eine Klasse nichtlinearer Wellengleichungen, Math. Z., 77, 295-307 (1961) · Zbl 0111.09105
[7] Lax, P. D.; Phillips, R. S., Scattering Theory (1967), Academic Press: Academic Press New York · Zbl 0214.12002
[8] Morawetz, C. S., The limiting amplitude principle, Commun. Pure Appl. Math., 15, 349-362 (1962) · Zbl 0196.41202
[9] Nelson, S., Asymptotic behavior of certain fundamental solutions to the Klein-Gordon equation (1966), M.I.T.,: M.I.T., Cambridge, Massachusetts, Unpublished Doctoral dissertation
[10] Segal, I. E., Non-linear semigroups, Ann. Math., 78, 339-364 (1963) · Zbl 0204.16004
[11] Segal, I. E., Quantization and dispersion for non-linear relativistic equations, (Proceedings of the Conference on the Mathematical Theory of Elementary Particles (1966), M.I.T. Press: M.I.T. Press Cambridge Massachusetts), 79-108
[12] Segal, I. E., Non-linear relativistic partial differential equations, (Paper read at the International Congress of Mathematicians. Paper read at the International Congress of Mathematicians, Moscow (1966)) · Zbl 0204.41701
[13] Segal, I. E.; Segal, I. E.
[14] Strauss, W. A., Scattering for hyperbolic equations, Trans. Am. Math. Soc., 108, 13-37 (1963) · Zbl 0138.34903
[15] Strauss, W. A., La décroissance asymptotique des solutions des équations d’onde non linéaires, Compt. Rend. Acad. Sci. Paris, 256, 2749-2750 (1963) · Zbl 0115.08401
[16] Strauss, W. A., Les opérateurs d’onde pour des équations d’onde non linéaires, Compt. Rend. Acad. Sci. Paris, 256, 5045-5046 (1963) · Zbl 0196.40001
[17] Strauss, W. A., On continuity of functions with values in various Banach spaces, Pacific J. Math., 19, 543-551 (1966) · Zbl 0185.20103
[18] Zachmanoglou, E. C., The decay of solutions, Arch. Ratl. Mech. Anal., 14, 312-325 (1963) · Zbl 0168.08002
[19] Morawetz, C. S., Energy identities for the wave equation, (Report IMM 346 (1966), New York University) · Zbl 0212.44102
[20] Morawetz, C. S.Proc. Royal Soc. (London); Morawetz, C. S.Proc. Royal Soc. (London)
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