We consider an optimal control problem for quasilinear elliptic equation containing the p-Laplacian with variable exponent p = p(x). The exponent p(x) are used as the controls in L^1(Ω). The optimal control problem is to minimize the discrepancy between a given distribution yd and the current system state y, by choosing an appropriate exponent p(x).
On Optimal Control of Quasi-Linear Elliptic Equation with Variable p(x)-Laplacian / D’Apice, Ciro; DE MAIO, Umberto; Kogut, and Peter I.. - Vol I WCE 2018,:(2018). (Intervento presentato al convegno International Conference of Applied and Engineering Mathematics tenutosi a London, U.K. nel 4-6 July, 2018.).
On Optimal Control of Quasi-Linear Elliptic Equation with Variable p(x)-Laplacian
Umberto De Maio;
2018
Abstract
We consider an optimal control problem for quasilinear elliptic equation containing the p-Laplacian with variable exponent p = p(x). The exponent p(x) are used as the controls in L^1(Ω). The optimal control problem is to minimize the discrepancy between a given distribution yd and the current system state y, by choosing an appropriate exponent p(x).| File | Dimensione | Formato | |
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