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Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations

Research output: Journal contributions › Journal articles › Research › peer-review

Standard

Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations. / Hochmuth, Reinhard.
In: Nonlinear Analysis-Theory Methods & Applications, Vol. 46, No. 1, 01.10.2001, p. 1-18.

Research output: Journal contributions › Journal articles › Research › peer-review

Harvard

Hochmuth, R 2001, 'Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations', Nonlinear Analysis-Theory Methods & Applications, vol. 46, no. 1, pp. 1-18. https://doi.org/10.1016/S0362-546X(99)00427-7

APA

Hochmuth, R. (2001). Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations. Nonlinear Analysis-Theory Methods & Applications, 46(1), 1-18. https://doi.org/10.1016/S0362-546X(99)00427-7

Vancouver

Hochmuth R. Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations. Nonlinear Analysis-Theory Methods & Applications. 2001 Oct 1;46(1):1-18. doi: 10.1016/S0362-546X(99)00427-7

Bibtex

@article{5910b0aaf37f45018128fe331554dc35,
title = "Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations",
abstract = "Various nonlinear anisotropic boundary value problems, which lead to unbounded functionals satisfying the Palais-Smale condition with respect to anisotropic Sobolev spaces were examined. Homogeneous Dirichlet problems with respect to nonlinear anisotropic partial differential operators were considered. In particular, the Zabusky equation, a nonhypoelliptic squared wave equation and a Boussinesq equation were investigated.",
keywords = "Mathematics, nonlinear anisotropic problems, tensor products, regularity theory, mountain pass method, numerical approximations, multiscale discretizations, nonlinear anisotropic problems, tensor products, regularity theory, mountain pass method, numerical approximations, multiscale discretizations",
author = "Reinhard Hochmuth",
year = "2001",
month = oct,
day = "1",
doi = "10.1016/S0362-546X(99)00427-7",
language = "English",
volume = "46",
pages = "1--18",
journal = "Nonlinear Analysis-Theory Methods & Applications",
issn = "0362-546X",
publisher = "Pergamon Press",
number = "1",

}

RIS

TY - JOUR

T1 - Nonlinear anisotropic boundary value problems – regularity results and multiscale discretizations

AU - Hochmuth, Reinhard

PY - 2001/10/1

Y1 - 2001/10/1

N2 - Various nonlinear anisotropic boundary value problems, which lead to unbounded functionals satisfying the Palais-Smale condition with respect to anisotropic Sobolev spaces were examined. Homogeneous Dirichlet problems with respect to nonlinear anisotropic partial differential operators were considered. In particular, the Zabusky equation, a nonhypoelliptic squared wave equation and a Boussinesq equation were investigated.

AB - Various nonlinear anisotropic boundary value problems, which lead to unbounded functionals satisfying the Palais-Smale condition with respect to anisotropic Sobolev spaces were examined. Homogeneous Dirichlet problems with respect to nonlinear anisotropic partial differential operators were considered. In particular, the Zabusky equation, a nonhypoelliptic squared wave equation and a Boussinesq equation were investigated.

KW - Mathematics

KW - nonlinear anisotropic problems

KW - tensor products

KW - regularity theory

KW - mountain pass method

KW - numerical approximations

KW - multiscale discretizations

KW - nonlinear anisotropic problems

KW - tensor products

KW - regularity theory

KW - mountain pass method

KW - numerical approximations

KW - multiscale discretizations

UR - http://www.scopus.com/inward/record.url?scp=0035480441&partnerID=8YFLogxK

U2 - 10.1016/S0362-546X(99)00427-7

DO - 10.1016/S0362-546X(99)00427-7

M3 - Journal articles

VL - 46

SP - 1

EP - 18

JO - Nonlinear Analysis-Theory Methods & Applications

JF - Nonlinear Analysis-Theory Methods & Applications

SN - 0362-546X

IS - 1

ER -

Other publications by the same author(s)

Didactics of Mathematics in Higher Education as a Scientific Discipline - Conference Proceedings

Göller, R. (ed.), Biehler, R., Hochmuth, R. K. & Rück, H-G., 2017, Kassel: Kompetenzentrum Hochschuldidaktik Mathematik - Universität Kassel. 509 p. (khdm-Report; vol. 2017, no. 05)

Research output: Books and anthologies › Conference proceedings › Research

Mathematik im Ingenieurwissenschaftsstudium – Ansätze zu einer fachbezogenen Kompetenzmodellierung

Hochmuth, R. K. & Schreiber, S., 2014, TeachING-LearnING.EU Tagungsband: movING Forward; Engineering Education from vision to mission. Tekkaya, A. E., Jeschke, S. & Petermann, M. (eds.). Technische Universität Dortmund, p. 68-76 9 p.

Research output: Contributions to collected editions/works › Article in conference proceedings › Research › peer-review

Mit Werkzeugen Mathematik und Stochastik lernen

Wassong, T., Frischemeier, D., Fischer, P. R., Hochmuth, R. & Bender, P., 2014, Wiesbaden: Springer Spektrum. 497 p.

Research output: Books and anthologies › Book

Vorstellung eines Fragebogens zur Erfassung von Lernstrategien in mathematikhaltigen Studiengängen.

Liebendörfer, M., Hochmuth, R. K., Schreiber, S., Göller, R., Kolter, J., Biehler, R., Kortemeyer, J. & Ostsieker, L., 2014, Beiträge zum Mathematikunterricht 2014: Beiträge zur 48. Jahrestagung der Gesellschaft für Didaktik der Mathematik vom 10. bis 14. März 2014 in Koblenz. Roth, J. & Ames, J. (eds.). WTM - Verlag für wissenschaftliche Texte und Medien, Vol. 2. p. 739-742 4 p.

Research output: Contributions to collected editions/works › Article in conference proceedings › Research

Blended-Learning Brückenkurs Mathematik für Wirtschaftswissenschaftler.

Goguadze, G. & Hochmuth, R., 25.11.2013, Mathematik im Übergang Schule / Hochschule und im ersten Studienjahr: Extended Abstracts zur 2. khdm-Arbeitstagung. Hoppenbrock, A., Schreiber, S., Göller, R., Biehler, R., Büchler, B., Hochmuth, R. & Rück, H-G. (eds.). Universitätsbibliothek Kassel, Vol. khdm-Report 13-01. p. 63-64 2 p. (KHDM-Report; vol. 13, no. 01).

Research output: Contributions to collected editions/works › Other › Research

DOI