Identifying a spherically symmetric conductivity in a nonlinear parabolic equation

Abstract

In this article we determine, i.e. we prove existence and uniqueness of a radially symmetric operator conductivity in a nonlinear heat equation of the form (1.1) related to a spherical corona Ω ⊂ R ³ under a suitable additional information.

Keywords:

• Nonlinear parabolic integrodifferential equations
• identification problems
• determination of a nonlinear
• non local conductivity coefficient
• existence and uniqueness result

Keywords:

• Primary 35R30
• Secondary 35K20

Acknowledgements

The authors wish to thank the anonymous referee for the careful reading of the first version of this article as well as for useful suggestions that helped the authors to improve their work significantly.

Notes

†The authors are members of the research group G.N.A.M.P.A of the Italian Istituto Nazionale di Alta Matematica (INdAM).

Additional information

Notes on contributors

Francesca Messina†

†The authors are members of the research group G.N.A.M.P.A of the Italian Istituto Nazionale di Alta Matematica (INdAM).