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Analyticity and Smoothness for a Class of First Order Nonlinear PDEs

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Analysis and Geometry

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 127))

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Abstract

We study the microlocal analyticity and smoothness for the solutions of a class of first order complex nonlinear partial differential equations of the form \(u_t=f(x,t,u,u_x)\).

In memory of M. Salah Baouendi

Work supported in part by NSF DMS 1300026.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Temple University, Philadelphia, PA, 19122, USA

    Shiferaw Berhanu

Authors
  1. Shiferaw Berhanu
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Correspondence to Shiferaw Berhanu .

Editor information

Editors and Affiliations

  1. Département de Mathématiques, Université de Sfax, Sfax, Tunisia

    Ali Baklouti

  2. LAMAV, ISTV2, Université de Valenciennes, Valenciennes cedex 9, France

    Aziz El Kacimi

  3. Department of Mathematics and Statistics, The American University of Sharjah, Sharjah, Utd.Arab.Emir.

    Sadok Kallel

  4. Texas A&M University at Qatar, Doha, Qatar

    Nordine Mir

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Berhanu, S. (2015). Analyticity and Smoothness for a Class of First Order Nonlinear PDEs. In: Baklouti, A., El Kacimi, A., Kallel, S., Mir, N. (eds) Analysis and Geometry. Springer Proceedings in Mathematics & Statistics, vol 127. Springer, Cham. https://doi.org/10.1007/978-3-319-17443-3_7

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