Philippe Souplet

Applied Mathematics · 2000–2018

A researcher in the Science corpus: 22 papers; trusts 35 researchers and is trusted by 37 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 104 citations into it; #374 of 7,620 by trust here, #373 by citations
• Computational Theory and Mathematics — 77 citations into it; #1,890 of 12,182 by trust here, #1,379 by citations
• Mathematical Physics — 46 citations into it; #2,299 of 8,562 by trust here, #1,438 by citations
• Control and Systems Engineering — 40 citations into it; #2,757 of 8,257 by trust here, #3,682 by citations
• Modeling and Simulation — 28 citations into it; #1,301 of 2,105 by trust here, #628 by citations
• Public Health, Environmental and Occupational Health — 15 citations into it
• Molecular Biology — 13 citations into it; #10,443 of 17,773 by trust here, #11,818 by citations
• Statistical and Nonlinear Physics — 7 citations into it

Whom Philippe Souplet trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. Marek Fila
2. Henghui Zou
3. Brian H. Gilding
4. Peter Poláčik
5. Pavol Quittner
6. Wolfgang Reichel
7. Michel Pierre
8. Laurent Desvillettes
9. H. Kozono
10. Yoshie Sugiyama

Who trusts Philippe Souplet overall

1. Jun-cheng Wei
2. Pavol Quittner
3. Qi S. Zhang
4. Yuxiang Li
5. Quốc Hùng Phan
6. Peter Bella
7. J. D'avila
8. Xiaohui Yu
9. D. Ye
10. José M. Arrieta

Papers from Philippe Souplet's perspective

Ordered by how strongly the researchers Philippe Souplet trusts endorse each paper. Same corpus, a different order for every researcher.

1. Cauchy-Liouville and universal boundedness theorems for quasilinear elliptic equations and inequalities
2. Universal bounds at the blow-up time for nonlinear parabolic equations (Advances in Differential Equations)
3. On bounded and unbounded global solutions of a supercritical semilinear heat equation
4. Analytic Semigroups and Optimal Regularity in Parabolic Problems
5. On blow‐up rate for sign‐changing solutions in a convex domain
6. A priori estimates for a semilinear elliptic system without variational structure and their applications
7. The parabolic-parabolic Keller-Segel model in R2
8. Local existence and finite time blow-up of solutions in the 2-D Keller-Segel system
9. Nonvariational elliptic systems
10. Decay of global solutions, stability and blowup for a reaction-diffusion problem with free boundary

Their papers

• Singularity and decay estimates in superlinear problems via liouville-type theorems. Part II: Parabolic equations (2007) — 202 citations
• Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems (2007) — 427 citations
• Gradient blow-up for multidimensional nonlinear parabolic equations with general boundary conditions (2002) — 101 citations
• A priori Estimates and Existence for Elliptic Systems via Bootstrap in Weighted Lebesgue Spaces (2004) — 82 citations
• Single-Point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equations in Planar Domains (2010) — 50 citations
• Nondegeneracy of blow-up points for the parabolic Keller–Segel system (2014) — 306 citations
• Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem (2001) — 55 citations
• Decay of global solutions, stability and blowup for a reaction-diffusion problem with free boundary (2000) — 47 citations
• Global existence for reaction–diffusion systems with dissipation of mass and quadratic growth (2018) — 51 citations
• Liouville-type theorems and bounds of solutions of Hardy-Hénon equations (2012) — 148 citations
• The proof of the Lane–Emden conjecture in four space dimensions (2009) — 282 citations
• Superlinear Parabolic Problems (2007) — 716 citations
• Global solutions of inhomogeneous Hamilton-Jacobi equations (2006) — 80 citations
• Coexistence of simultaneous and nonsimultaneous blow-up in a semilinear parabolic system (2005) — 61 citations
• Sharp Gradient Estimate and Yau's Liouville Theorem for the Heat Equation on Noncompact Manifolds (2005) — 236 citations
• Boundedness of global solutions for nonlinear parabolic equations involving gradient blow-up phenomena (2004) — 47 citations
• Optimal condition for non-simultaneous blow-up in a reaction-diffusion system (2004) — 65 citations
• REGULAR SELF-SIMILAR SOLUTIONS OF THE NONLINEAR HEAT EQUATION WITH INITIAL DATA ABOVE THE SINGULAR STEADY STATE (2003) — 52 citations
• The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces (2002) — 127 citations
• The blow-up rate for semilinear parabolic problems on general domains (2001) — 56 citations