Renormalized solutions to nonlinear parabolic problems with blowing up coefficients and general measure data View Full Text


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Article Info

DATE

2019-03-09

AUTHORS

Mohammed Abdellaoui, Elhoussine Azroul

ABSTRACT

An existence result is established for a class of quasilinear parabolic problem which is a diffusion type equations having continuous coefficients blowing up for a finite value of the unknown, a second hand μ∈Mb(Q) and an initial data u0∈L1(Ω). We develop a technique which relies on the notion of a renormalized solution and an adequate regularization in time for certain truncation functions. Some compactness results are also shown under additional hypotheses. More... »

PAGES

1-23

References to SciGraph publications

  • 2015-04. On the Notion of Renormalized Solution to Nonlinear Parabolic Equations with General Measure Data in JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS
  • 2018-08. Existence and Uniqueness of Renormalized Solutions to Nonlinear Parabolic Equations with Lower Order Term and Diffuse Measure Data in MEDITERRANEAN JOURNAL OF MATHEMATICS
  • 2008-10. Renormalized solutions of nonlinear parabolic equations with general measure data in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 1999-12. Existence results for nonlinear parabolic equations via strong convergence of truncations in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2013-07. Renormalized solutions of nonlinear parabolic equations with diffuse measure data in MANUSCRIPTA MATHEMATICA
  • 1988-03. On the Fokker-Planck-Boltzmann equation in COMMUNICATIONS IN MATHEMATICAL PHYSICS
  • 2008-07. Nonlinear equations with unbounded heat conduction and integrable data in ANNALI DI MATEMATICA PURA ED APPLICATA (1923 -)
  • 2011-12. Diffuse measures and nonlinear parabolic equations in JOURNAL OF EVOLUTION EQUATIONS
  • 2003-09. Parabolic Capacity and Soft Measures for Nonlinear Equations in POTENTIAL ANALYSIS
  • 2009. Existence of Solution for Nonlinear Elliptic Equations with Unbounded Coefficients and Data in INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
  • 1989. Internal Constraints and Constitutive Laws in MATHEMATICAL MODELS FOR PHASE CHANGE PROBLEMS
  • Journal

    TITLE

    Ricerche di Matematica

    ISSUE

    N/A

    VOLUME

    N/A

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11587-019-00436-0

    DOI

    http://dx.doi.org/10.1007/s11587-019-00436-0

    DIMENSIONS

    https://app.dimensions.ai/details/publication/pub.1112634315


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