Advances in Differential Equations

Weak solutions of a strongly coupled degenerate parabolic system

Roberta Dal Passo and Lorenzo Giacomelli

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We prove existence in arbitrary space dimension of nonnegative bounded weak solutions of both the Cauchy problem and an initial-boundary value problem for a degenerate parabolic system which arises in plasma physics.

Article information

Adv. Differential Equations, Volume 4, Number 5 (1999), 617-638.

First available in Project Euclid: 15 April 2013

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 35K65: Degenerate parabolic equations
Secondary: 35D05 35Q99: None of the above, but in this section 82D10: Plasmas


Dal Passo, Roberta; Giacomelli, Lorenzo. Weak solutions of a strongly coupled degenerate parabolic system. Adv. Differential Equations 4 (1999), no. 5, 617--638.

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