Metastability for parabolic equations with drift: Part II. The quasilinear case

Hitoshi Ishii, Panagiotis E. Souganidis

    Research output: Contribution to journalArticle

    1 Citation (Scopus)

    Abstract

    This is the second part of our work on metastability results for parabolic equations with drift. The aim is to present a self-contained study, using partial differential equations methods, of the metastability properties of the solutions to quasi-linear parabolic equations with drift, and to obtain results similar to those in Freidlin and Koralov [6, 8].

    Original languageEnglish
    Pages (from-to)315-360
    Number of pages46
    JournalIndiana University Mathematics Journal
    Volume66
    Issue number1
    DOIs
    Publication statusPublished - 2017

    Fingerprint

    Metastability
    Parabolic Equation
    Quasilinear Parabolic Equations
    Partial differential equation

    Keywords

    • Asymptotic behavior
    • Metastability
    • Parabolic equation
    • Stochastic perturbation

    ASJC Scopus subject areas

    • Mathematics(all)

    Cite this

    Metastability for parabolic equations with drift : Part II. The quasilinear case. / Ishii, Hitoshi; Souganidis, Panagiotis E.

    In: Indiana University Mathematics Journal, Vol. 66, No. 1, 2017, p. 315-360.

    Research output: Contribution to journalArticle

    Ishii, Hitoshi ; Souganidis, Panagiotis E. / Metastability for parabolic equations with drift : Part II. The quasilinear case. In: Indiana University Mathematics Journal. 2017 ; Vol. 66, No. 1. pp. 315-360.
    @article{594947e152d54be5ad0772f3e4326734,
    title = "Metastability for parabolic equations with drift: Part II. The quasilinear case",
    abstract = "This is the second part of our work on metastability results for parabolic equations with drift. The aim is to present a self-contained study, using partial differential equations methods, of the metastability properties of the solutions to quasi-linear parabolic equations with drift, and to obtain results similar to those in Freidlin and Koralov [6, 8].",
    keywords = "Asymptotic behavior, Metastability, Parabolic equation, Stochastic perturbation",
    author = "Hitoshi Ishii and Souganidis, {Panagiotis E.}",
    year = "2017",
    doi = "10.1512/iumj.2017.66.5994",
    language = "English",
    volume = "66",
    pages = "315--360",
    journal = "Indiana University Mathematics Journal",
    issn = "0022-2518",
    publisher = "Indiana University",
    number = "1",

    }

    TY - JOUR

    T1 - Metastability for parabolic equations with drift

    T2 - Part II. The quasilinear case

    AU - Ishii, Hitoshi

    AU - Souganidis, Panagiotis E.

    PY - 2017

    Y1 - 2017

    N2 - This is the second part of our work on metastability results for parabolic equations with drift. The aim is to present a self-contained study, using partial differential equations methods, of the metastability properties of the solutions to quasi-linear parabolic equations with drift, and to obtain results similar to those in Freidlin and Koralov [6, 8].

    AB - This is the second part of our work on metastability results for parabolic equations with drift. The aim is to present a self-contained study, using partial differential equations methods, of the metastability properties of the solutions to quasi-linear parabolic equations with drift, and to obtain results similar to those in Freidlin and Koralov [6, 8].

    KW - Asymptotic behavior

    KW - Metastability

    KW - Parabolic equation

    KW - Stochastic perturbation

    UR - http://www.scopus.com/inward/record.url?scp=85015155241&partnerID=8YFLogxK

    UR - http://www.scopus.com/inward/citedby.url?scp=85015155241&partnerID=8YFLogxK

    U2 - 10.1512/iumj.2017.66.5994

    DO - 10.1512/iumj.2017.66.5994

    M3 - Article

    AN - SCOPUS:85015155241

    VL - 66

    SP - 315

    EP - 360

    JO - Indiana University Mathematics Journal

    JF - Indiana University Mathematics Journal

    SN - 0022-2518

    IS - 1

    ER -