Existence and local uniqueness for 3D self-consistent multiscale models of field-effect sensors

DOI10.4310/CMS.2012.v10.n2.a13zbMath1283.35036MaRDI QIDQ389974

Clemens Heitzinger, Stefan Baumgartner

Publication date: 22 January 2014

Published in: Communications in Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: http://intlpress.com/site/pub/pages/journals/items/cms/content/vols/0010/0002/a013/index.html

zbMATH Keywords

existencehomogenizationlocal uniquenessinterface conditionssystem of elliptic PDEsnanowirebiosensorDNA sensorfield-effect sensorgas sensorself-consistent model

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Finite difference methods for boundary value problems involving PDEs (65N06) PDEs in connection with mechanics of particles and systems of particles (35Q70) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Statistical mechanics of nanostructures and nanoparticles (82D80) Boundary value problems for second-order elliptic systems (35J57)

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