@article{AFST_1982_5_4_2_143_0,
author = {I. Peral and J. C. Peral and M. Walias},
title = {$L^p$-estimates for hyperbolic operators applications to $\Box u = u^k$},
journal = {Annales de la Facult\'e des sciences de Toulouse : Math\'ematiques},
pages = {143--152},
year = {1982},
publisher = {Universit\'e Paul Sabatier},
address = {Toulouse},
volume = {Ser. 5, 4},
number = {2},
doi = {10.5802/afst.577},
zbl = {0508.35053},
language = {en},
url = {https://afst.centre-mersenne.org/articles/10.5802/afst.577/}
}
TY - JOUR AU - I. Peral AU - J. C. Peral AU - M. Walias TI - $L^p$-estimates for hyperbolic operators applications to $\Box u = u^k$ JO - Annales de la Faculté des sciences de Toulouse : Mathématiques PY - 1982 SP - 143 EP - 152 VL - 4 IS - 2 PB - Université Paul Sabatier PP - Toulouse UR - https://afst.centre-mersenne.org/articles/10.5802/afst.577/ DO - 10.5802/afst.577 LA - en ID - AFST_1982_5_4_2_143_0 ER -
%0 Journal Article %A I. Peral %A J. C. Peral %A M. Walias %T $L^p$-estimates for hyperbolic operators applications to $\Box u = u^k$ %J Annales de la Faculté des sciences de Toulouse : Mathématiques %D 1982 %P 143-152 %V 4 %N 2 %I Université Paul Sabatier %C Toulouse %U https://afst.centre-mersenne.org/articles/10.5802/afst.577/ %R 10.5802/afst.577 %G en %F AFST_1982_5_4_2_143_0
I. Peral; J. C. Peral; M. Walias. $L^p$-estimates for hyperbolic operators applications to $\Box u = u^k$. Annales de la Faculté des sciences de Toulouse : Mathématiques, Série 5, Tome 4 (1982) no. 2, pp. 143-152. doi: 10.5802/afst.577
[1] . «The wave operator and Lp norms». J. Math. Mech.12 (1963) 55-68. | Zbl | MR
[2] . «Multipliers in Lp and interpolation». Bull. A.M.S. 71 (1965) 764-766. | Zbl | MR
[3] . «Lp-estimates for wave equations». Journal of Functional Analysis, Vol 36, n° 1 (1980), 114-145. | Zbl | MR
[4] . «Non-linear semi-groups». Annals in Mathematics 78 n° 2 (1963) 339-364. | Zbl | MR
[5] . «The global Cauchy Problem for a realtivistic scalar field with power interaction». Bull. Soc. Math. France 91 (1963) 129-135. | Numdam | Zbl | MR
[6] . «Non-linear invariant wave equations». Lecture notes in Phisics n° 73, Springer-Verlag, Berlin (1978).
[7] , . «Numerical solution of a Non-linear Klein-Gordon Equations». J. Comp. Phys. 28 n°2 (1978) 271-278. | Zbl | MR
[8] . «Convolutions with Kernels having singularities on a sphere». Trans. Amer. Math. Soc. 148 (1970) 461-471. | Zbl | MR
[9] . «A priori Estimates for the Wave Equations and some applications». Jour. Functional Analysis 5 (1970) 218-235. | Zbl | MR
Cité par Sources :