Stability of equilibrium solution to inhomogeneous heat equation under a 3-point boundary condition

Autor:	Bruce Calvert
Rok vydání:	2010
Předmět:	Applied Mathematics Mathematical analysis Free boundary problem Neumann boundary condition Cauchy boundary condition Mixed boundary condition Boundary value problem Analysis Poincaré–Steklov operator Robin boundary condition Heat kernel Mathematics
Zdroj:	Applicable Analysis. 89:409-414
ISSN:	1563-504X 0003-6811
DOI:	10.1080/00036810903569457
Popis:	We consider a one-dimensional heat equation with inhomogeneous term, satisfying three-point boundary conditions, such that the temperature at the end is controlled by a sensor at the point η. We show that the integral solution, in the space of continuous functions satisfying the boundary values, converges to the equilibrium solution. This answers a question posed for nonlinear Laplacians, but in the linear case only.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1fe5d14e1fdeffab6a5153a07d71cb62 https://doi.org/10.1080/00036810903569457 Zobrazit plný text záznamu