Generalized Dirichlet to Neumann map for moving initial-boundary value problems

Journal of Mathematical Physics

Volumn 48, Issue 1, 2007, Pages

  Fokas, A S ^a   Pelloni, B ^b  

^a UNIVERSITY OF CAMBRIDGE   (United Kingdom)

^b UNIVERSITY OF READING   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34047180967     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2405405     Document Type: Article

References (9)

1. Ablowitz, M. J. and Fokas, A. S., Introduction and Applications of Complex Variables, 2nd ed. (Cambridge University Press, Cambridge, 2004).
2. Fokas, A. S., " A unified transform method for solving linear and certain nonlinear PDE's., " Proc. R. Soc. London, Ser. A 453, 1411-1443 (1997).
3. Fokas, A. S. and DeLillo, S., " The Dirichlet to Neumann map for the heat equation on a moving boundary. " (unpublished).
4. Fokas, A. S. and Gelfand, I. M., " Integrability of linear and nonlinear evolution equations and the associated nonlinear Fourier transform., " Lett. Math. Phys. 32, 189-210 (1994).
5. Fokas, A. S. and Novikov, R., " Discrete analogues of d-bar equations and the Radon transform., " C. R. Acad Sci. Paris 313, 75-80 (1991).
6. Fokas, A. S. and Pelloni, B., " A method of solving moving boundary value problems for linear evolution equations., " Phys. Rev. Lett. 84, 4785-4789 (2000).
7. Fokas, A. S. and Pelloni, B., " Integrable evolution equations in time-dependent domains., " Inverse Probl. 17, 919-935 (2001).
8. Katznelson, Y., An Introduction to Harmonic Analysis (Dover, New York, 1976).
9. Novikov, R. G., " An inversion formula for the attenuated x-ray transformation., " Ark. Mat. 40, 145-167 (2002).