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  1. Applied Mathematics-A Journal of Chinese Universities
  2. Applied Mathematics-A Journal of Chinese Universities : Volume 20
  3. Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 1, March 2005
  4. Lower semicontinuity of A class of functionals in SBV$_{ H }$
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Applied Mathematics-A Journal of Chinese Universities : Volume 32
Applied Mathematics-A Journal of Chinese Universities : Volume 31
Applied Mathematics-A Journal of Chinese Universities : Volume 30
Applied Mathematics-A Journal of Chinese Universities : Volume 29
Applied Mathematics-A Journal of Chinese Universities : Volume 28
Applied Mathematics-A Journal of Chinese Universities : Volume 27
Applied Mathematics-A Journal of Chinese Universities : Volume 26
Applied Mathematics-A Journal of Chinese Universities : Volume 25
Applied Mathematics-A Journal of Chinese Universities : Volume 24
Applied Mathematics-A Journal of Chinese Universities : Volume 23
Applied Mathematics-A Journal of Chinese Universities : Volume 22
Applied Mathematics-A Journal of Chinese Universities : Volume 21
Applied Mathematics-A Journal of Chinese Universities : Volume 20
Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 4, December 2005
Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 3, September 2005
Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 2, June 2005
Applied Mathematics-A Journal of Chinese Universities : Volume 20, Issue 1, March 2005
Rough singular integral operators on Hardy-Sobolev spaces
Weyl curvature of a finsler space
Semi-openness and almost-openness of induced mappings
Lower semicontinuity of A class of functionals in SBV$_{ H }$
Growth of solutions of three order differential equations
Algebraic solutions of algebraic differential equations
Existence of positive solutions for p-laplacian singular boundary value problems of functional differential equation
A priori bounds for periodic solutions of a kind of third-order delay differential equation
Parameter estimation in linear regression models for longitudinal contaminated data
Bayesian prediction for the two-parameter exponential distribution based on type II doubly censoring
Reliability analysis for a repairable parallel system with time-varying failure rates
Moment of levy measure of operator-stable law
Discontinuous galerkin finite element method for a forward-backward heat equation
Two-level method for unsteady Navier-Stokes equations in stream function form
Neighborhood union of independent sets and hamiltonicity of claw-free graphs
Applied Mathematics-A Journal of Chinese Universities : Volume 19
Applied Mathematics-A Journal of Chinese Universities : Volume 18
Applied Mathematics-A Journal of Chinese Universities : Volume 17
Applied Mathematics-A Journal of Chinese Universities : Volume 16
Applied Mathematics-A Journal of Chinese Universities : Volume 15
Applied Mathematics-A Journal of Chinese Universities : Volume 14
Applied Mathematics-A Journal of Chinese Universities : Volume 13
Applied Mathematics-A Journal of Chinese Universities : Volume 12

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Lower semicontinuity of A class of functionals in SBV$_{ H }$

Content Provider Springer Nature Link
Author Song, Yingqing Yang, Xiaoping Long, Fei
Copyright Year 2005
Abstract In this paper lower semicontinuity of the functional I(u)=∫$_{ Ω }$ f(x,u,Δ $_{H}$u)dx is investigated for f being a Carathéodory function defined on H $^{ n }$ × R × R$^{2n }$ and for u∈SBV$_{ H }$(Ω), where H $^{ n }$ is the Heisenberg group with dimension 2n+1, Ω∩H $^{ n }$ is an open set and ∇ Hu denotes the approximate derivative of the absolute continuous part D $^{ a }$ $_{Hu}$ with respect to D $_{H}$u. In addition, a Lusin type approximation theorem for a SBV$_{ H }$ function is proved.
Starting Page 27
Ending Page 34
Page Count 8
File Format PDF
ISSN 10051031
Journal Applied Mathematics-A Journal of Chinese Universities
Volume Number 20
Issue Number 1
e-ISSN 19930445
Language English
Publisher Editorial Committee of Applied Mathematics
Publisher Date 2005-01-01
Publisher Place Hangzhou
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword lower semicontinuity SBV$_{ H }$ function Heisenberg group Lusin approximation Mathematics Applications of Mathematics
Content Type Text
Resource Type Article
Subject Applied Mathematics
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