Smooth solutions of systems of quasilinear parabolic equations

We prove a logarithmic stability estimate for a parabolic inverse problem concerning the localization of unknown cavities in a thermic conducting medium $Ω$ in $ℝ^{n}$ , $n \geq 2$ , from a single pair of boundary measurements of temperature and thermal flux.

On a nonlinear coupled system with internal damping.

Apolaya, R.F., Clark, H.R., Feitosa, A.J. (2000)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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A minmax problem for parabolic systems with competitive interactions.

Chawla, Sanjay (1999)

Electronic Journal of Differential Equations (EJDE) [electronic only]

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