Isotopic families of contact manifolds for elliptic PDE
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- by Mark L. Agranovsky and E. K. Narayanan PDF
- Proc. Amer. Math. Soc. 134 (2006), 2117-2123 Request permission
Abstract:
A test for a function to be a solution of an elliptic PDE is given in terms of extensions, as solutions, from the boundaries inside the domains belonging to an isotopic family. It generalizes a result of Ehrenpreis for spheres moved along a straight line.References
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Additional Information
- Mark L. Agranovsky
- Affiliation: Department of Mathematics, Bar-Ilan University, 52900, Ramat-Gan, Israel
- MR Author ID: 203078
- Email: agranovs@macs.biu.ac.il
- E. K. Narayanan
- Affiliation: Department of Mathematics, Indian Institute of Science, Bangalore - 560 012, India
- Email: naru@math.iisc.ernet.in
- Received by editor(s): October 11, 2004
- Received by editor(s) in revised form: February 21, 2005
- Published electronically: January 17, 2006
- Additional Notes: The first author was partially supported by Israel Scientific Foundation, grant No. 279/02-01.
- Communicated by: David S. Tartakoff
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 2117-2123
- MSC (2000): Primary 35J67; Secondary 35B60
- DOI: https://doi.org/10.1090/S0002-9939-06-08404-8
- MathSciNet review: 2215782