Cauchy problem for nonlinear parabolic equations

Hi Jun Choe; Jin Ho Lee

doi:10.14492/hokmj/1351001251

Cauchy problem for nonlinear parabolic equations

Hi Jun Choe, Jin Ho Lee

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

The Cauchy problem for degenerate parabolic equations with bounded measurable coefficients is studied. The existence and uniqueness of initial trace for nonnegative solutions is shown. The Harnack type estimate is fundamental. Moreover the behavior of interface is studied locally and globally. The interface is Hölder continuous graph. Finally the asymptotic behavior of solutions is studied.

Original language	English
Pages (from-to)	51-75
Number of pages	25
Journal	Hokkaido Mathematical Journal
Volume	27
Issue number	1
DOIs	https://doi.org/10.14492/hokmj/1351001251
Publication status	Published - 1998

All Science Journal Classification (ASJC) codes

Mathematics(all)

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10.14492/hokmj/1351001251

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@article{8a0987d539324ece80c7b586d8e4204d,

title = "Cauchy problem for nonlinear parabolic equations",

abstract = "The Cauchy problem for degenerate parabolic equations with bounded measurable coefficients is studied. The existence and uniqueness of initial trace for nonnegative solutions is shown. The Harnack type estimate is fundamental. Moreover the behavior of interface is studied locally and globally. The interface is H{\"o}lder continuous graph. Finally the asymptotic behavior of solutions is studied.",

author = "Choe, {Hi Jun} and Lee, {Jin Ho}",

year = "1998",

doi = "10.14492/hokmj/1351001251",

language = "English",

volume = "27",

pages = "51--75",

journal = "Hokkaido Mathematical Journal",

issn = "0385-4035",

publisher = "Department of Mathematics, Hokkaido University",

number = "1",

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TY - JOUR

T1 - Cauchy problem for nonlinear parabolic equations

AU - Choe, Hi Jun

AU - Lee, Jin Ho

PY - 1998

Y1 - 1998

N2 - The Cauchy problem for degenerate parabolic equations with bounded measurable coefficients is studied. The existence and uniqueness of initial trace for nonnegative solutions is shown. The Harnack type estimate is fundamental. Moreover the behavior of interface is studied locally and globally. The interface is Hölder continuous graph. Finally the asymptotic behavior of solutions is studied.

AB - The Cauchy problem for degenerate parabolic equations with bounded measurable coefficients is studied. The existence and uniqueness of initial trace for nonnegative solutions is shown. The Harnack type estimate is fundamental. Moreover the behavior of interface is studied locally and globally. The interface is Hölder continuous graph. Finally the asymptotic behavior of solutions is studied.

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UR - http://www.scopus.com/inward/citedby.url?scp=58149508548&partnerID=8YFLogxK

U2 - 10.14492/hokmj/1351001251

DO - 10.14492/hokmj/1351001251

M3 - Article

AN - SCOPUS:58149508548

SN - 0385-4035

VL - 27

SP - 51

EP - 75

JO - Hokkaido Mathematical Journal

JF - Hokkaido Mathematical Journal

IS - 1

ER -

Cauchy problem for nonlinear parabolic equations

Abstract

All Science Journal Classification (ASJC) codes

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