Venttsel' problems in fractal domains

被引：24

作者：

Lancia, Maria Rosaria ^{[1
]}

Vernole, Paola ^{[2
]}

机构：

[1] Univ Rome, Dipartimento Sci Base & Applicate Ingn, Via A Scarpa 16, I-00161 Rome, Italy

[2] Univ Roma La Sapienza, Dipartimento Matemat, I-00185 Rome, Italy

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2014年 / 14卷 / 03期

关键词：

Asymptotic behaviour; Venttsel' problems; Energy forms; Fractal domains; Trace theorems; Semigroups; Varying Hilbert spaces; BOUNDARY-CONDITIONS; APPROXIMATION; TRANSMISSION; CONVERGENCE; SPACES; LAPLACIAN;

D O I：

10.1007/s00028-014-0233-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A nonsteady Venttsel' problem in a fractal domain Omega or in the corresponding prefractal domain Omega (h) is studied. Existence, uniqueness, and regularity results for the strict solution, in both cases, are established as well as convergence results of the solutions of the approximating problems in varying Hilbert spaces.

引用

页码：681 / 712

页数：32

共 62 条

[21] The heat equation with generalized Wentzell boundary condition [J].

Favini, A ;

Goldstein, GR ;

Goldstein, JA ;

Romanelli, S .

JOURNAL OF EVOLUTION EQUATIONS, 2002, 2 (01) :1-19

[22]

Favini A., 2005, Rev Mater Comput, V18, P143

[23] Transfer across random versus deterministic fractal interfaces [J].

Filoche, M ;

Sapoval, B .

PHYSICAL REVIEW LETTERS, 2000, 84 (25) :5776-5779

[24]

Freiberg UR, 2004, Z ANAL ANWEND, V23, P115

[25]

Goldstein GR, 2006, ADV DIFFERENTIAL EQU, V11, P457

[26]

GRISVARD P, 1974, CR ACAD SCI A MATH, V278, P1581

[27]

Grisvard P., 1985, Elliptic Problems in Nonsmooth Domains, V24

[28]

Hackbush W., 1992, SPRINGER SERIES COMP, V18

[29]

Haddar H, 2000, SIAM J APPL MATH, V61, P1386

[30] PHENOMENA OF TRANSMISSION ACROSS THIN-LAYERS OF HIGH CONDUCTIVITY [J].

HUY, HP ;

SANCHEZP.E .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1974, 47 (02) :284-309

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