We study the stability of an unknown nonlinear term in a quasilinear parabolic equation arising in combustion theory. Choosing suitable spaces for data and nonlinear terms, we can show that the mapping data → nonlinear term is Hölder continuous.
A stability result for an inverse problem related to a quasilinear parabolic equation / Gatti, Stefania. - In: JOURNAL OF INVERSE AND ILL-POSED PROBLEMS. - ISSN 0928-0219. - STAMPA. - 5:(1997), pp. 1-17.
A stability result for an inverse problem related to a quasilinear parabolic equation
GATTI, Stefania
1997
Abstract
We study the stability of an unknown nonlinear term in a quasilinear parabolic equation arising in combustion theory. Choosing suitable spaces for data and nonlinear terms, we can show that the mapping data → nonlinear term is Hölder continuous.
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