Displaying similar documents to “Existence and asymptotic behaviour for a degenerate Kirchhoff -Carrier model with viscosity and nonlinear boundary conditions.”

Global in time solvability of the initial boundary value problem for some nonlinear dissipative evolution equations

Yoshihiro Shibata (1993)

Commentationes Mathematicae Universitatis Carolinae

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The global in time solvability of the one-dimensional nonlinear equations of thermoelasticity, equations of viscoelasticity and nonlinear wave equations in several space dimensions with some boundary dissipation is discussed. The blow up of the solutions which might be possible even for small data is excluded by allowing for a certain dissipative mechanism.

Stability estimates for an inverse problem for the linear Boltzmann equation.

Rolci Cipolatti, Carlos M. Motta, Nilson C. Roberty (2006)

Revista Matemática Complutense

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In this paper we consider the inverse problem of recovering the total extinction coefficient and the collision kernel for the time-dependent Boltzmann equation via boundary measurements. We obtain stability estimates for the extinction coefficient in terms of the albedo operator and also an identification result for the collision kernel.