@article{ASNSP_1972_3_26_4_807_0, author = {Arena, Orazio and Littman, Walter}, title = {{\textquotedblleft}Farfield{\textquotedblright} behavior of solutions to partial differential equations : asymptotic expansions and maximal rates of decay along a ray}, journal = {Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche}, pages = {807--827}, publisher = {Scuola normale superiore}, volume = {Ser. 3, 26}, number = {4}, year = {1972}, mrnumber = {412574}, zbl = {0219.35012}, language = {en}, url = {http://www.numdam.org/item/ASNSP_1972_3_26_4_807_0/} }
TY - JOUR AU - Arena, Orazio AU - Littman, Walter TI - “Farfield” behavior of solutions to partial differential equations : asymptotic expansions and maximal rates of decay along a ray JO - Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche PY - 1972 SP - 807 EP - 827 VL - 26 IS - 4 PB - Scuola normale superiore UR - http://www.numdam.org/item/ASNSP_1972_3_26_4_807_0/ LA - en ID - ASNSP_1972_3_26_4_807_0 ER -
%0 Journal Article %A Arena, Orazio %A Littman, Walter %T “Farfield” behavior of solutions to partial differential equations : asymptotic expansions and maximal rates of decay along a ray %J Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche %D 1972 %P 807-827 %V 26 %N 4 %I Scuola normale superiore %U http://www.numdam.org/item/ASNSP_1972_3_26_4_807_0/ %G en %F ASNSP_1972_3_26_4_807_0
Arena, Orazio; Littman, Walter. “Farfield” behavior of solutions to partial differential equations : asymptotic expansions and maximal rates of decay along a ray. Annali della Scuola Normale Superiore di Pisa - Scienze Fisiche e Matematiche, Série 3, Tome 26 (1972) no. 4, pp. 807-827. http://www.numdam.org/item/ASNSP_1972_3_26_4_807_0/
Partial Differential Equations, New York 1969. | MR | Zbl
; [1]Causal S-operators and domains of dependence for hyperbolic equations, Thesis M. I. T. 1963.
; [1]One sided invariant subspace and domains of uniqueness for hyperbolic equations, Proc. AMS 15 (1964), 653-660. | MR | Zbl
; [2]On Sommerfeld-type conditions, Mat. Sb. (N. S.) 61 (103) (1963), 147-174 (Russian). | MR
; [1]Linear partial differential operators, Springer-Verlag, New York 1969. | MR | Zbl
; [1]A convergent «far-field» expansion for two-dimensional radiation functions, Comm. Pure Appl. Math. 14 (1961), 427-434. | MR | Zbl
; [1]Supports dans la transformation de Laplaoe, J. Analyse Math. 2 (1953), 369-380. | MR | Zbl
; [1]Fourier transforms of surface-carried measures and differentiability of surface averages, Bull. AMS 69 (1963), 766-770. | MR | Zbl
; [1]Maximal rates of decay of solutions of partial differential equations, Archive Rat. Mech. Anal. 37 (1970), 11-20. | MR | Zbl
; [2]On the exponential decay of solutions for some partial differential equatione, J. Math. Soc. Japan 19 (1967), 82-90. | MR | Zbl
; [1]Asymptotic behavior in time of solutions for evolution equations, J. Funct. Anal. 1 (1967), 84-92. | MR | Zbl
; [2]An expansion about infinity of solutions of linear elliptic equations, J. Math and Mech 12 (1963), 247-264. | MR | Zbl
; [1]; [1] A uniqueness theorem for the relativistic wave equation, Comm. Pure Appl. Math. 16 (1963), 353-362. | MR | Zbl
The calculus of variations in the large, AMS Colloq. Publ. vol. 18, AMS Providence, R. I., 1934. | Zbl
; [1]Asymptotic expansions of solutions of ordinary differential equations in Hilbert Space, Archive Rat. Mech. Anal. 24 (1967), 193-218. | MR | Zbl
; [1]Direct formulation of the causality requirements of the S-operator, Phys. Rev. 109 (1958), 2191-2198. | MR | Zbl
; [1][1] The Stationary observer problem for □ u = Mu and related equations, Journal Diff. Eq., 9 (1971), 205-223. | Zbl
;Principles of radiation, limit absorption and limit amplitude in the general theory of partial differential equations, Russian Math. Surveys, No. 3, 21 (1966), 115-193. | MR | Zbl
; [1]A generalization of theorems of Rellich and Atkinson, Proc. AMS. 7 (1956), 271-276. | MR | Zbl
; [1]