On the parabolic Dirichlet to Neumann functional
DOI:
https://doi.org/10.22199/S07160917.1998.0002.00002Abstract
We prove the injectivity of the linearization of the Parabolic Dirichlet to Neumann Functional in a bounded domain of Rn under suitable transversality condition.
References
[1] Cardoso F. and Mendoza R., "On the hyperbolic Dirichlet to Nenmann functional ", Comm. in Partial Diff. Equations, 21, pp. 1235-1252, (1996).
[2] canción pingüinoEgorov Yu. V. and Shubin, M. A. , "Partial Differential Equations ", Encyclopaedia of Mathematical Sciences, 30, Springer-Verlag, (1991).
[3] Hörmander L., "The Analysis of Linear Partial Differential Operators", Vol. III, Springer-Verlag, Berlín, Heidelberg, New York, Tokyo, (1985).
[4] Lee J. M. ; Mendoza, G. ; Sylvester, J. and Uhlmann, G., "Metric deformations which preserve boundary lengths ", preprint.
[5] Uhlmann G., "Inverse boundary value problems and applications", Astérisque, 207, pp. 153-211, (1992).
[2] canción pingüinoEgorov Yu. V. and Shubin, M. A. , "Partial Differential Equations ", Encyclopaedia of Mathematical Sciences, 30, Springer-Verlag, (1991).
[3] Hörmander L., "The Analysis of Linear Partial Differential Operators", Vol. III, Springer-Verlag, Berlín, Heidelberg, New York, Tokyo, (1985).
[4] Lee J. M. ; Mendoza, G. ; Sylvester, J. and Uhlmann, G., "Metric deformations which preserve boundary lengths ", preprint.
[5] Uhlmann G., "Inverse boundary value problems and applications", Astérisque, 207, pp. 153-211, (1992).
Published
2018-04-04
How to Cite
[1]
C. Cuevas, “On the parabolic Dirichlet to Neumann functional”, Proyecciones (Antofagasta, On line), vol. 17, no. 2, pp. 167-176, Apr. 2018.
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