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Statements of the Problems of Chap. 5

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Tools and Problems in Partial Differential Equations

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Abstract

This chapter contains problems on microlocal analysis.

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References

  1. Alazard, T.: Analyse et équations aux dérivées partielles. Lectures Notes. Available at http://talazard.perso.math.cnrs.fr (2020)

  2. Alinhac, S., Gérard, P.: Pseudo-Differential Operators and the Nash-Moser Theorem. Graduate Studies in Mathematics, vol. 82. American Mathematical Society, Providence, RI (2007) (Translated from the 1991 French original by Stephen S. Wilson)

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  4. Hörmander, L.: Hypoelliptic second order differential equations. Acta Math. 119, 147–171 (1967)

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  5. Hörmander, L.: The Analysis of Linear Partial Differential Operators. IV. Fourier Integral Operators. Classics in Mathematics. Springer, Berlin (2009) (Reprint of the 1994 edition)

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  6. Lerner, N.: Carleman Inequalities. An Introduction and More. Grundlehren der Mathematischen Wissenschaften (Fundamental Principles of Mathematical Sciences), vol. 353. Springer, Cham (2019)

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  7. Taylor, M.E.: Partial Differential Equations II. Qualitative Studies of Linear Equations. Applied Mathematical Sciences, vol. 116, 2nd edn. Springer, New York (2011)

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Authors and Affiliations

  1. École Normale Supérieure Paris-Saclay, Université Paris-Saclay, Gif sur Yvette, France

    Thomas Alazard

  2. Institut de Mathématique d’Orsay, Université Paris-Saclay, Orsay, France

    Claude Zuily

Authors
  1. Thomas Alazard
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  2. Claude Zuily
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Correspondence to Thomas Alazard or Claude Zuily .

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Alazard, T., Zuily, C. (2020). Statements of the Problems of Chap. 5. In: Tools and Problems in Partial Differential Equations. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-030-50284-3_6

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