On the nonlinear Diamond operator related to the wave equation

Nonlinear Analysis: Real World Applications

Volumn 3, Issue 4, 2002, Pages 465-470

  Sritanratana, G ^a   Kananthai, A ^a  

^a CHIANG MAI UNIVERSITY   (Thailand)

Author keywords

Diamond operator; Schauders's estimates; The hyperbolic kernel of Marcel Riesz

Indexed keywords

EID: 0036887640     PISSN: 14681218     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1468-1218(01)00027-X     Document Type: Article

References (6)

1. R. Courant, D. Hilbert, Methods of Mathematical Physics, vol. 2, Interscience Publishers, New York, 1966.
2. W.F. Donoghue, Distributions and Fourier Transforms, Academic Press, New York, 1969.
3. A. Kananthai, On the solution of the n-dimensional Diamond operator, Applied Mathematics and Computation, vol. 88, Elsevier Science Inc., New York, 1997, pp. 27-37.
4. A. Kananthai, On the Diamond operator related to the wave equation, Nonlinear Analysis 47 (2) (2001) 1373-1382.
5. Y. Nozaki, On Riemann-Liouville integral of ultrahyperbolic type, Kodai Math. Sem. Rep. 6 (2) (1964) 69-87.
6. S.E. Trione, On Marcel Riesz's ultrahyperbolic kernel, Trabajos de Matematica, 1987, p. 116, preprint.