The method of quasi‐reversibility to solve the Cauchy problems for elliptic partial differential equations | Zendy

Bourgeois Laurent | Zendy; Lunéville Eric | Zendy

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The method of quasi‐reversibility to solve the Cauchy problems for elliptic partial differential equations

Author(s) -

Bourgeois Laurent,

Lunéville Eric

Publication year - 2007

Publication title -

pamm

Language(s) - English

Resource type - Journals

ISSN - 1617-7061

DOI - 10.1002/pamm.200700001

Subject(s) - elliptic partial differential equation , cauchy distribution , computation , a priori and a posteriori , mathematics , cauchy problem , partial differential equation , operator (biology) , initial value problem , elliptic operator , mathematical analysis , algorithm , chemistry , philosophy , biochemistry , epistemology , repressor , transcription factor , gene

We use the method of quasi‐reversibility, first introduced in [1], to solve the ill‐posed Cauchy problems for an elliptic operator such as P = –Δ. In particular, a non‐conforming method is implemented, some a priori error estimates are derived, and a few numerical computations are presented. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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