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Philippe Souplet

Philippe Souplet

D-Index & Metrics

Mathematics

D-Index
37
Citations
6762
World Ranking
2470
National Ranking
149

Overview

Philippe Souplet is affiliated with Paris 13 University in France. Their research primarily focuses on Mathematics and Computer Science, with notable involvement in Applied Mathematics, Computational Theory and Mathematics, Mathematical Physics, Modeling and Simulation, and Control and Systems Engineering.

The main topics addressed in their work include:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Advanced Mathematical Physics Problems
  • Mathematical Biology Tumor Growth
  • Stability and Controllability of Differential Equations
  • Geometric Analysis and Curvature Flows
  • Differential Equations and Boundary Problems

Philippe Souplet has published extensively, with frequent contributions to several academic venues. The leading publication outlets include:

  • arXiv (Cornell University)
  • DOAJ (DOAJ: Directory of Open Access Journals)
  • Mathematische Annalen
  • Journal of Differential Equations
  • Asymptotic Analysis

Recent papers include:

  • "A Liouville-Type Theorem for an Elliptic Equation with Superquadratic Growth in the Gradient", 2020, DOAJ (DOAJ: Directory of Open Access Journals)
  • "Universal estimates and Liouville theorems for superlinear problems without scale invariance", 2022, arXiv (Cornell University)
  • "Refined behavior and structural universality of the blow-up profile for the semilinear heat equation with non scale invariant nonlinearity", 2024, Mathematische Annalen
  • "Singularity formation and regularization at multiple times in the viscous Hamilton-Jacobi equation", 2020, arXiv (Cornell University)
  • "The Vázquez maximum principle and the Landis conjecture for elliptic PDE with unbounded coefficients", 2021, Advances in Mathematics

Philippe Souplet has collaborated frequently with several researchers, including:

  • Pavol Quíttner
  • Loth Damagui Chabi
  • Noriko Mizoguchi
  • Boyan Sirakov
  • Roberta Filippucci

They have contributed to book publications as well, with at least one book published by Springer International Publishing titled "2019-20 MATRIX Annals" in 2021.

Best Publications

  • Superlinear Parabolic Problems: Blow-up, Global Existence and Steady States

    Pavol Quittner;Philippe Souplet

  • Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems

    Peter Poláčik;Pavol Quittner;Philippe Souplet

  • The proof of the Lane–Emden conjecture in four space dimensions

    Philippe Souplet

  • Nondegeneracy of blow-up points for the parabolic Keller–Segel system

    Noriko Mizoguchi;Noriko Mizoguchi;Philippe Souplet

  • Blow-up in nonlocal reaction-diffusion equations

    Philippe Souplet

  • Uniform Blow-Up Profiles and Boundary Behavior for Diffusion Equations with Nonlocal Nonlinear Source

    Philippe Souplet

  • Sharp Gradient Estimate and Yau's Liouville Theorem for the Heat Equation on Noncompact Manifolds

    Philippe Souplet;Qi S. Zhang

  • Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions

    Philippe Souplet

  • Singularity and decay estimates in superlinear problems via liouville-type theorems. Part II: Parabolic equations

    Peter Polácik;Pavol Quittner;Philippe Souplet

  • The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces

    Matania Ben-Artzi;Philippe Souplet;Philippe Souplet;Fred B. Weissler

  • Liouville-type theorems and bounds of solutions of Hardy-Hénon equations

    Quoc Hung Phan;Philippe Souplet

  • Finite Time Blow-up for a Non-linear Parabolic Equation with a Gradient Term and Applications

    Philippe Souplet

  • Recent results and open problems on parabolic equations with gradient nonlinearities.

    Philippe Souplet

  • Global solutions of inhomogeneous Hamilton-Jacobi equations

    Philippe Souplet;Qi S. Zhang

  • Self-Similar Subsolutions and Blowup for Nonlinear Parabolic Equations

    Philippe Souplet;Fred B Weissler

  • The blow-up rate for semilinear parabolic problems on general domains

    Marek Fila;Philippe Souplet

  • Poincaré's inequality and global solutions of a nonlinear parabolic equation

    Philippe Souplet;Fred B. Weissler

  • Optimal condition for non-simultaneous blow-up in a reaction-diffusion system

    Philippe Souplet;Philippe Souplet;Slim Tayachi

  • REGULAR SELF-SIMILAR SOLUTIONS OF THE NONLINEAR HEAT EQUATION WITH INITIAL DATA ABOVE THE SINGULAR STEADY STATE

    Philippe Souplet;Philippe Souplet;Fred B Weissler

  • On the growth of mass for a viscous Hamilton-Jacobi equation

    Philippe Laurençot;Philippe Souplet;Philippe Souplet

Frequent Co-Authors

Fred B. Weissler
Fred B. Weissler Université Paris Cité
Alessio Porretta
Alessio Porretta University of Rome Tor Vergata
Jong-Shenq Guo
Jong-Shenq Guo Tamkang University
Michael Winkler
Michael Winkler University of Paderborn
Qi S. Zhang
Qi S. Zhang University of California, Riverside
Patrizia Pucci
Patrizia Pucci University of Perugia
Bessem Samet
Bessem Samet King Saud University
Mohamed Jleli
Mohamed Jleli King Saud University
Yvan Martel
Yvan Martel École Polytechnique
Philippe Laurençot
Philippe Laurençot Toulouse Mathematics Institute

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