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Thierry Cazenave

Thierry Cazenave

Overview

Thierry Cazenave is affiliated with Sorbonne University in France and contributes to research primarily within the fields of Mathematics, Physics and Astronomy, and Engineering. Their work spans several subfields, including Mathematical Physics, Statistical and Nonlinear Physics, Control and Systems Engineering, Applied Mathematics, and Computational Theory and Mathematics.

The main topics addressed in their research include:

  • Advanced Mathematical Physics Problems
  • Stability and Controllability of Differential Equations
  • Nonlinear Photonic Systems
  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Waves and Solitons

Cazenave's recent scholarly output includes publications such as:

  • "Asymptotic behavior for a dissipative nonlinear Schrödinger equation," 2021, published in Nonlinear Analysis
  • "Sign-changing solutions of the nonlinear heat equation with persistent singularities," 2020, published in ESAIM Control Optimisation and Calculus of Variations
  • "Local smooth solutions of the nonlinear Klein-gordon equation," 2020, published in Discrete and Continuous Dynamical Systems - S

Frequent collaborators in their research include Ivan Naumkin, with whom they have collaborated on multiple occasions, as well as Zheng Han, Flávio Dickstein, and Fred B. Weissler. These partnerships reflect interdisciplinary connections within their areas of study, especially concerning nonlinear equations and their applications.

Cazenave's publications are distributed across several academic venues, each aligned with their specialization. These include:

  • Nonlinear Analysis
  • ESAIM Control Optimisation and Calculus of Variations
  • Discrete and Continuous Dynamical Systems - S

Best Publications

  • Semilinear Schrodinger Equations

    Thierry Cazenave

  • Orbital stability of standing waves for some nonlinear Schrödinger equations

    Thierry Cazenave;Pierre-Louis Lions

  • An Introduction to Semilinear Evolution Equations

    Thierry Cazenave;Alain Haraux;Yvan Martel

  • The Cauchy problem for the critical nonlinear Schro¨dinger equation in H s

    T. Cazenave;F. B. Weissler

  • A nonlinear heat equation with singular initial data

    Haïm Brezis;Haïm Brezis;Thierry Cazenave

  • Blow up for $u_t-\Delta u=g(u)$ revisited

    Haïm Brezis;Thierry Cazenave;Yvan Martel;Arthur Ramiandrisoa

  • Équations d'évolution avec non linéarité logarithmique

    Thierry Cazenave;Alain Haraux

  • The Cauchy problem for the nonlinear Schrödinger Equation in H1.

    Thierry Cazenave;Fred B. Weissler;Fred B. Weissler

  • Rapidly decaying solutions of the nonlinear Schrödinger equation

    Thierry Cazenave;Fred B. Weissler

  • Some remarks on the nonlinear Schrödinger equation in the subcritical case

    Thierry Cazenave;Fred B. Weissler

  • ASYMPTOTICALLY SELF-SIMILAR GLOBAL SOLUTIONS OF THE NONLINEAR SCHRODINGER AND HEAT EQUATIONS

    Thierry Cazenave;Fred B. Weissler

  • Solutions globales d'équations de la chaleur semi linéaires

    Thierry Cazenave;Pierre-Louis Lions

  • Stable solutions of the logarithmic Schrödinger equation

    Thierry Cazenave

  • Existence of localized solutions for a classical nonlinear Dirac field

    Thierry Cazenave;Luis Vazquez

  • Scattering for the focusing energy-subcritical nonlinear Schrödinger equation

    DaoYuan Fang;Jian Xie;Jian Xie;Thierry Cazenave;Thierry Cazenave

  • An equation whose Fujita critical exponent is not given by scaling

    Thierry Cazenave;Flávio Dickstein;Fred B. Weissler

  • Harmonic maps of the hyperbolic space and development of singularities in wave maps and Yang-Mills fields

    Thierry Cazenave;Jalal Shatah;A. Shadi Tahvildar-Zadeh

  • Existence of excited states for a nonlinear Dirac field

    Mikhaël Balabane;Mikhaël Balabane;Thierry Cazenave;Adrien Douady;Adrien Douady;Frank Merle

  • Uniform estimates for solutions of nonlinear Klein-Gordon equations

    Thierry Cazenave

  • Existence of standing waves for Dirac fields with singular nonlinearities

    Mikhael Balabane;Mikhael Balabane;Thierry Cazenave;Luis Vázquez

Frequent Co-Authors

Fred B. Weissler
Fred B. Weissler Université Paris Cité
Yvan Martel
Yvan Martel École Polytechnique
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Alexandre N. Carvalho
Alexandre N. Carvalho Universidade de São Paulo
Pierre-Louis Lions
Pierre-Louis Lions Collège de France
Luis Vega
Luis Vega University of the Basque Country
Enrique Zuazua
Enrique Zuazua University of Erlangen-Nuremberg
Jalal Shatah
Jalal Shatah Courant Institute of Mathematical Sciences
Raúl Manásevich
Raúl Manásevich University of Chile
Frank Merle
Frank Merle CY Cergy Paris University

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