Identification problems for degenerate parabolic equations

Fadi Awawdeh; Hamed M. Obiedat

Applications of Mathematics (2013)

  • Volume: 58, Issue: 4, page 389-404
  • ISSN: 0862-7940

Abstract

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This paper deals with multivalued identification problems for parabolic equations. The problem consists of recovering a source term from the knowledge of an additional observation of the solution by exploiting some accessible measurements. Semigroup approach and perturbation theory for linear operators are used to treat the solvability in the strong sense of the problem. As an important application we derive the corresponding existence, uniqueness, and continuous dependence results for different degenerate identification problems. Applications to identification problems for the Stokes system, Poisson-heat equation, and Maxwell system are given to illustrate the theory.

How to cite

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Awawdeh, Fadi, and Obiedat, Hamed M.. "Identification problems for degenerate parabolic equations." Applications of Mathematics 58.4 (2013): 389-404. <http://eudml.org/doc/260745>.

@article{Awawdeh2013,
abstract = {This paper deals with multivalued identification problems for parabolic equations. The problem consists of recovering a source term from the knowledge of an additional observation of the solution by exploiting some accessible measurements. Semigroup approach and perturbation theory for linear operators are used to treat the solvability in the strong sense of the problem. As an important application we derive the corresponding existence, uniqueness, and continuous dependence results for different degenerate identification problems. Applications to identification problems for the Stokes system, Poisson-heat equation, and Maxwell system are given to illustrate the theory.},
author = {Awawdeh, Fadi, Obiedat, Hamed M.},
journal = {Applications of Mathematics},
keywords = {identification problem; perturbation theory for linear operators; degenerate differential equation; identification problem; perturbation theory for linear operators; degenerate differential equation},
language = {eng},
number = {4},
pages = {389-404},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Identification problems for degenerate parabolic equations},
url = {http://eudml.org/doc/260745},
volume = {58},
year = {2013},
}

TY - JOUR
AU - Awawdeh, Fadi
AU - Obiedat, Hamed M.
TI - Identification problems for degenerate parabolic equations
JO - Applications of Mathematics
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 389
EP - 404
AB - This paper deals with multivalued identification problems for parabolic equations. The problem consists of recovering a source term from the knowledge of an additional observation of the solution by exploiting some accessible measurements. Semigroup approach and perturbation theory for linear operators are used to treat the solvability in the strong sense of the problem. As an important application we derive the corresponding existence, uniqueness, and continuous dependence results for different degenerate identification problems. Applications to identification problems for the Stokes system, Poisson-heat equation, and Maxwell system are given to illustrate the theory.
LA - eng
KW - identification problem; perturbation theory for linear operators; degenerate differential equation; identification problem; perturbation theory for linear operators; degenerate differential equation
UR - http://eudml.org/doc/260745
ER -

References

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