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Your search keyword '"Geng, Jun"' showing total 2 results
Start Over Author "Geng, Jun" Topic neumann problem Journal journal of functional analysis
2 results on '"Geng, Jun"'

1. Convergence rates in parabolic homogenization with time-dependent periodic coefficients.

Author

Geng, Jun and Shen, Zhongwei

Subjects
*STOCHASTIC convergence, *ASYMPTOTIC homogenization, *MEASURE theory, *NEUMANN problem, *DIRICHLET problem
Abstract

For a family of second-order parabolic systems with bounded measurable, rapidly oscillating and time-dependent periodic coefficients, we investigate the sharp convergence rates of weak solutions in L 2 . Both initial-Dirichlet and initial-Neumann problems are studied. [ABSTRACT FROM AUTHOR]

Published
2017
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2. The Neumann problem and Helmholtz decomposition in convex domains

Author

Geng, Jun and Shen, Zhongwei

Subjects
*NEUMANN problem, *HELMHOLTZ equation, *MATHEMATICAL decomposition, *CONVEX domains, *HARMONIC functions, *VECTOR fields
Abstract

Abstract: We show that the Neumann problem for Laplace''s equation in a convex domain Ω with boundary data in is uniquely solvable for . As a consequence, we obtain the Helmholtz decomposition of vector fields in . [Copyright &y& Elsevier]

Published
2010
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