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A free boundary problem for a quasi-linear degenerate elliptic equation: Regular reflection of weak shocks

✍ Scribed by Sunčica Čanić; Barbara Lee Keyfitz; Eun Heui Kim


Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
190 KB
Volume
55
Category
Article
ISSN
0010-3640

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A strong maximum principle for weak solu
✍ Lars Andersson; Gregory J. Galloway; Ralph Howard 📂 Article 📅 1998 🏛 John Wiley and Sons 🌐 English ⚖ 508 KB

The strong maximum principle is proved to hold for weak (in the sense of support functions) sub-and supersolutions to a class of quasi-linear elliptic equations that includes the mean curvature equation for C 0 -space-like hypersurfaces in a Lorentzian manifold. As one application, a Lorentzian warp