Peter Poláčik

Applied Mathematics · 2002–2015

A researcher in the Science corpus: 10 papers; trusts 11 researchers and is trusted by 19 researchers here, as inferred from the citation graph.

Subfields

• Applied Mathematics — 20 citations into it; #1,124 of 7,620 by trust here, #662 by citations
• Computational Theory and Mathematics — 17 citations into it; #1,700 of 12,182 by trust here, #1,352 by citations
• Mathematical Physics — 11 citations into it
• Public Health, Environmental and Occupational Health — 6 citations into it; #2,303 of 2,368 by trust here, #1,847 by citations

Whom Peter Poláčik trusts overall

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

1. Henghui Zou
2. Pavol Quittner
3. Yihong Du
4. Wolfgang Reichel
5. Marek Fila
6. Philippe Souplet
7. Peter Polá č ik
8. A. Malchiodi
9. J. Serrin
10. Herbert Amann

Who trusts Peter Poláčik overall

1. Pavol Quittner
2. Florica Şt. Cîrstea
3. J. Vétois
4. J. Bouhours
5. J. D'avila
6. Philippe Souplet
7. Jun-cheng Wei
8. Louis Dupaigne
9. Edward Norman Dancer
10. Thomas Giletti

Papers from Peter Poláčik's perspective

Ordered by how strongly the researchers Peter Poláčik 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. On bounded and unbounded global solutions of a supercritical semilinear heat equation
3. Analytic Semigroups and Optimal Regularity in Parabolic Problems
4. Universal bounds at the blow-up time for nonlinear parabolic equations (Advances in Differential Equations)
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. Non-Existence Results for Semilinear Cooperative Elliptic Systems via Moving Spheres
8. The blow-up rate for semilinear parabolic problems on general domains
9. Some new entire solutions of semilinear elliptic equations on Rn
10. Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains

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
• Nonconvergent bounded solutions of semilinear heat equations on arbitrary domains (2002) — 66 citations
• A Liouville-type theorem and the decay of radial solutions of a semilinear heat equation (2006) — 61 citations
• Locally uniform convergence to an equilibrium for nonlinear parabolic equations on $R^N$ (2015) — 46 citations
• Threshold Solutions and Sharp Transitions for Nonautonomous Parabolic Equations on $${\mathbb{R}^N}$$ (2011) — 53 citations
• On cooperative parabolic systems: Harnack inequalities and asymptotic symmetry (2009) — 61 citations
• Loops and branches of coexistence states in a Lotka-Volterra competition model (2006) — 47 citations
• CONVERGENCE TO EQUILIBRIUM FOR SEMILINEAR PARABOLIC PROBLEMS IN (2002) — 56 citations
• Chapter 16 - Parabolic Equations: Asymptotic Behavior and Dynamics on Invariant Manifolds (2002) — 83 citations