1,721,036 research outputs found
Identification of the memory kernel in the strongly damped wave equation by a flux condition
No full textA global in time existence and uniqueness result for a semilinear integrodifferential parabolic inverse problem in Sobolev Spaces
No full textProva dell'esistenza e unicità di soluzioni di problemi parabolici semilineari di identificazione di nuclei di convoluzion
Integrodifferential identification problems for thermal materials with memory in non-smooth plane domains
No full textIntegrodifferenzial identification problems for the heat equation in cylindrical domains
No full textSome results on the identification of memory kernels
No full textSurvey on results obtained by the authors, concerning the determination of unknown convolution kernels in integrodifferential mixed systems (even nonlinear
An inverse problem for a phase--field model in Sobolev spaces
No full textExistence and uniqueness of solutions of an inverse problem for a phase-field model with two memory kernel
A mixed type identification problem related to a phase-field model with memory
Full text linkIn this paper we consider an integro-differential system consisting of a parabolic and a hyperbolic equation related to phase transition models. The first equation is integro-differential and of hyperbolic type. It describes the evolution of the temperature and also accounts for memory effects through a memory kernel k via the Gurtin-Pipkin heat flux law. The latter equation, governing the evolution of the order parameter, is semilinear, parabolic and of the fourth order (in space). We prove a local in time existence result and a global uniqueness result for the identification problem consisting in recovering the memory kernel k appearing in the first equation
Elliptic equations in non-smooth plane domains with an application to a parabolic problem
No full textIn this paper we study elliptic boundary-value problems in bounded non-smooth plane domains and prove a generation result concerning analytic semigroups of linear bounded operators in space of continuous functions. Then we apply such a generation result for bounded non-smooth plane domains to a parabolic integro-differential equation
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