Differential and Integral Equations

On viscous conservation laws with growing initial data

Kazuyuki Yamada

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Abstract

A local unique solvability is established for viscous conservation laws when the initial data may grow to infinity with a natural order. It is also shown that such a classical solution can be extended to a global-in-time solution provided that the growth order of the initial data is less than the critical order.

Article information

Source
Differential Integral Equations, Volume 18, Number 8 (2005), 841-854.

Dates
First available in Project Euclid: 21 December 2012

Permanent link to this document
https://projecteuclid.org/euclid.die/1356060148

Mathematical Reviews number (MathSciNet)
MR2150443

Zentralblatt MATH identifier
1212.35190

Subjects
Primary: 35K55: Nonlinear parabolic equations
Secondary: 35K15: Initial value problems for second-order parabolic equations

Citation

Yamada, Kazuyuki. On viscous conservation laws with growing initial data. Differential Integral Equations 18 (2005), no. 8, 841--854. https://projecteuclid.org/euclid.die/1356060148


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