We study a second order transmission problem across a fractal interface K of Koch type. We prove existence and uniqueness of the weak solution of the problem in $V(\Omega,K)$ a suitable energy space. The link between the variational formulation and the problem is possible once we recover a version of the gauss-Green formula for fractal boundaries, hence a definition of "normal derivative ". Finally we prove a regularity result for the weak solution.
On some second order transmission problems / Lancia, Maria Rosaria. - In: THE ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING. SECTION B, ENGINEERING. - ISSN 1319-8025. - STAMPA. - 29-2C:(2004), pp. 101-110.
On some second order transmission problems
LANCIA, Maria Rosaria
2004
Abstract
We study a second order transmission problem across a fractal interface K of Koch type. We prove existence and uniqueness of the weak solution of the problem in $V(\Omega,K)$ a suitable energy space. The link between the variational formulation and the problem is possible once we recover a version of the gauss-Green formula for fractal boundaries, hence a definition of "normal derivative ". Finally we prove a regularity result for the weak solution.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
