Volume 11 Issue 1 | Asian Journal of Mathematics

Asian Journal of Mathematics

VOL. 11 · NO. 1 | March 2007

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Front Matter

Dedication

Asian J. Math. 11 (1), i-ii, (March 2007) Open Access

No abstract available

Preface

Asian J. Math. 11 (1), iii-iv, (March 2007) Open Access

No abstract available

Articles

Edge of the wedge theory in involutive structures

Zian Adwan, Shiferaw Berhanu

Asian J. Math. 11 (1), 1-18, (March 2007) Open Access

KEYWORDS: Involutive, Maximally real, Wedge, Edge, Wave-front, approximate solution, 35F15, 35B30, 42B30, 42A38, 30E25

No abstract available

Pairs of Involutions of Glancing Hypersurfaces

Patrick Ahern, Xianghong Gong

Asian J. Math. 11 (1), 19-38, (March 2007) Open Access

KEYWORDS: moduli space, normal form, glancing hypersurfaces, 32B10, 32F25

No abstract available

Exceptional blowup solutions to quasilinear wave equations II

Serge Alinhac

Asian J. Math. 11 (1), 39-46, (March 2007) Open Access

KEYWORDS: Quasilinear wave equations, blowup, linearly degenerate eigenvalue, unstable solutions, 35L40

No abstract available

Cauchy integrals and Möbius geometry of curves

David E. Barrett, Michael Bolt

Asian J. Math. 11 (1), 47-54, (March 2007) Open Access

KEYWORDS: Cauchy integral, Kerzman-Stein operator, inversive arc-length, 30C40

No abstract available

The Baouendi-Treves approximation theorem for continuous vector fields

Shiferaw Berhanu, Jorge Hounie

Asian J. Math. 11 (1), 55-68, (March 2007) Open Access

KEYWORDS: Lowly regular locally integrable systems, Baouendi-Treves approximation theorem, Generic CR submanifolds, 35F15, 35B30, 42B30, 42A38, 30E25

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Periodic solutions for a family of Euler-Lagrange systems

Ovidiu Calin, Der-Chen Chang, Stephen S.-T. Yau

Asian J. Math. 11 (1), 69-88, (March 2007) Open Access

KEYWORDS: subRiemannian geometry, horizontal curves, elliptic functions, Euler-Lagrangesystem, Jacobi's epsilon function, 53C17, 34K10, 35H20

No abstract available

The $X$-varieties for CR mappings between hyperquadrics

John P. D'Angelo

Asian J. Math. 11 (1), 89-102, (March 2007) Open Access

KEYWORDS: CR mappings, hermitian forms, unit sphere, hyperquadrics, proper holomorphicmappings, $X$-variety, 32V15, 32H35, 32H99, 32L05

No abstract available

The Twistor Construction and Penrose Transform in Split Signature

Michael Eastwood

Asian J. Math. 11 (1), 103-112, (March 2007) Open Access

KEYWORDS: Twistor, Penrose transform, Split signature, 32L25, 53C28, 58J10

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Manifolds of holomorphic mappings from strongly pseudoconvex domains

Franc Forstnerič

Asian J. Math. 11 (1), 113-126, (March 2007) Open Access

KEYWORDS: Stein manifolds, strongly pseudoconvex domains, manifolds of holomorphic mappings, 32E10, 32E30, 32H02, 46G20, 46T10, 54C35‎, 58B12, 58D15

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The strong Oka's lemma, bounded plurisubharmonic functions and the $\overline\partial$-Neumann problem

Phillip S. Harrington, Mei-Chi Shaw

Asian J. Math. 11 (1), 127-140, (March 2007) Open Access

KEYWORDS: plurisubharmonic function, Oka’s lemma, $\overline\partial$-Neumann problem, 32F20, 35N15

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Non-uniform continuity in $H\sp 1$ of the solution map of the CH equation

A. Alexandrou Himonas, Gerard Misiołek, Gustavo Ponce

Asian J. Math. 11 (1), 141-150, (March 2007) Open Access

KEYWORDS: Solution map, uniform continity, Camassa-Holm equation, Travelling waves, Sobolev Spaces, 35Q53

No abstract available

Manifolds Admitting Generic Immersions into $\mathbb{C}^N$

Howard Jacobowitz, Peter Landweber

Asian J. Math. 11 (1), 151-166, (March 2007) Open Access

KEYWORDS: Generic immersion, totally real immersion, Gromov theory, 57R42, 32Q99

No abstract available

On the continuity principle

Burglind Jöricke, Egmont Porten

Asian J. Math. 11 (1), 167-178, (March 2007) Open Access

KEYWORDS: Continuity principle, envelopes of holomorphy, polynomial hulls, 32D10, 32E20, 32D20, 32D26

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