## Pacific Journal of Mathematics

### Singular limits of quasilinear hyperbolic systems in a bounded domain of ${\bf R}^3$ with applications to Maxwell's equations.

Albert Milani

#### Article information

Source
Pacific J. Math., Volume 116, Number 1 (1985), 111-129.

Dates
First available in Project Euclid: 8 December 2004

https://projecteuclid.org/euclid.pjm/1102707251

Mathematical Reviews number (MathSciNet)
MR769826

Zentralblatt MATH identifier
0559.35052

#### Citation

Milani, Albert. Singular limits of quasilinear hyperbolic systems in a bounded domain of ${\bf R}^3$ with applications to Maxwell's equations. Pacific J. Math. 116 (1985), no. 1, 111--129. https://projecteuclid.org/euclid.pjm/1102707251

#### References

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• [3] T. Kato, Linear and Quasi-Linear Equations of Evolution of Hyperbolic Type, In: Hyperbolicity, II ciclo CIME (1976); Liguori, Napoli, 1977.
• [4] J. L. Lions, Perturbation Singulieres dans les Problemes aux Limites et en Control Optimal, Lect. Notes Math. 323; Springer-Verlag, Berlin 1973.
• [5] A. Milani, A regularity resultfor strongly elliptic systems, Boll. U.M.I., (6) 2-B (1983), 641-654.
• [6] A. Milani, The quasi-stationary Maxwell equations as singular limit of the completed equations: the Quasi-Linear Case, J. Math. Anal. Appl., 102 (1984).
• [7] A. Milani, On the global existence of solutions to the complete quasi-linear Maxwell equations, in print, Boll. Un. Mat. Ital.
• [8] A. Milani, Local in time existence for the complete Maxwell equations with monotone characteristic in a bounded domain, (IV), Ann. Mat. Pura Appl. CXXXI (1982), 233-254.
• [9] A. Milani, On a singular perturbation problem for the linear Maxwell equations, Rend. Sem. Mat. Univ. Polit. Torino,38/3 (1980), 99-110.
• [10] A. Milani and A. Negro, On the quasi-stationary Maxwell equations with monotone characteristics in a multiply connected domain, J. Math. Anal. Appl., 8 8 / 1 (1982), 216-230.