Almost global strong solutions to quasilinear dissipative evolution equations

Albert Milani

doi:10.1007/s11401-007-0251-7

Almost global strong solutions to quasilinear dissipative evolution equations

Albert Milani

Mathematics & Statistical Sciences

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

Abstract

The author proves a global existence result for strong solutions to the quasilinear dissipative hyperbolic equation (1.1) below, corresponding to initial values and source terms of arbitrary size, provided that the hyperbolicity parameter ε is sufficiently small. This implies a corresponding global existence result for the reduced quasilinear parabolic equation (1.4) below.

Original language	English
Pages (from-to)	91-110
Number of pages	20
Journal	Chinese Annals of Mathematics. Series B
Volume	30
Issue number	1
DOIs	https://doi.org/10.1007/s11401-007-0251-7
Publication status	Published - Jan 1 2009

All Science Journal Classification (ASJC) codes

Mathematics(all)
Applied Mathematics

Access to Document

10.1007/s11401-007-0251-7

Cite this

@article{146ad384bf0a4b7fbb65b753889ea0d1,

title = "Almost global strong solutions to quasilinear dissipative evolution equations",

abstract = "The author proves a global existence result for strong solutions to the quasilinear dissipative hyperbolic equation (1.1) below, corresponding to initial values and source terms of arbitrary size, provided that the hyperbolicity parameter ε is sufficiently small. This implies a corresponding global existence result for the reduced quasilinear parabolic equation (1.4) below.",

author = "Albert Milani",

year = "2009",

month = jan,

day = "1",

doi = "10.1007/s11401-007-0251-7",

language = "English",

volume = "30",

pages = "91--110",

journal = "Chinese Annals of Mathematics. Series B",

issn = "0252-9599",

publisher = "Springer Verlag",

number = "1",

}

TY - JOUR

T1 - Almost global strong solutions to quasilinear dissipative evolution equations

AU - Milani, Albert

PY - 2009/1/1

Y1 - 2009/1/1

N2 - The author proves a global existence result for strong solutions to the quasilinear dissipative hyperbolic equation (1.1) below, corresponding to initial values and source terms of arbitrary size, provided that the hyperbolicity parameter ε is sufficiently small. This implies a corresponding global existence result for the reduced quasilinear parabolic equation (1.4) below.

AB - The author proves a global existence result for strong solutions to the quasilinear dissipative hyperbolic equation (1.1) below, corresponding to initial values and source terms of arbitrary size, provided that the hyperbolicity parameter ε is sufficiently small. This implies a corresponding global existence result for the reduced quasilinear parabolic equation (1.4) below.

UR - http://www.scopus.com/inward/record.url?scp=60949099319&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=60949099319&partnerID=8YFLogxK

U2 - 10.1007/s11401-007-0251-7

DO - 10.1007/s11401-007-0251-7

M3 - Article

AN - SCOPUS:60949099319

SN - 0252-9599

VL - 30

SP - 91

EP - 110

JO - Chinese Annals of Mathematics. Series B

JF - Chinese Annals of Mathematics. Series B

IS - 1

ER -

Almost global strong solutions to quasilinear dissipative evolution equations

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Fingerprint

Cite this