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C∞regularity of solutions of an equation of Levi’s type inR2n+1

✍ Scribed by Giovanna Citti; Annamaria Montanari


Publisher
Springer
Year
2001
Tongue
English
Weight
260 KB
Volume
180
Category
Article
ISSN
0373-3114

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📜 SIMILAR VOLUMES


Regularity of solutions of a nonlinear H
✍ G. Citti 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 462 KB

In this talk we prove a regularity result in the intrinsic directions for the solutions of the Levi equation in \(\mathbb{R}^{3}\). We denote \((x, y, t)\) the points of the space, and represent the equation in the form \[ X^{2} u+Y^{2} u-(X a+Y b) \partial_{t} u=q\left(1+a^{2}+b^{2}\right)^{3 / 2}

On the existence and regularity of solut
✍ B. Michaux; J. M. Rakotoson; J. Shen 📂 Article 📅 1988 🏛 Springer Netherlands 🌐 English ⚖ 982 KB

Our aim in this article is to study the existence and regularity of solutions of a quasilinear elliptic-hyperbolic equation. This equation appears in the design of blade cascade profiles. This leads to an inverse problem for designing two-dimensional channels with prescribed velocity distributions a