Rate of convergence for solutions to Dirichlet problems of quasilinear equations
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Date
2003-12-09
Authors
Jin, Zhiren
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
We obtain rates of convergence for solutions to Dirichlet problems of quasilinear elliptic (possibly degenerate) equations in slab-like domains. The rates found depend on the convergence of the boundary data and of the coefficients of the operator. These results are obtained by constructing appropriate barrier functions based on the structure of the operator and on the convergence of the boundary data.
Description
Keywords
Elliptic boundary value problems, Asymptotic behavior of solutions, Unbounded domains, Barriers
Citation
Jin, Z. (2003). Rate of convergence for solutions to Dirichlet problems of quasilinear equations. <i>Electronic Journal of Differential Equations, 2003</i>(122), pp. 1-14.
Rights
Attribution 4.0 International