Concepedia

Peter Poláčik

PP

52

Publications

2.5K

Citations

30

H-Index

1989

Active since

Affiliations

University of Minnesota(Current)

Comenius University Bratislava

Institute of Applied Mathematics

Georgia Institute of Technology

Tohoku University

Peter Poláčik is an author at University of Minnesota specializing in functional analysis, physics, and engineering.

Top concepts

Functional AnalysisPhysicsEngineeringStabilitySpectral TheoryVariational InequalitiesNumerical AnalysisGeometryDeconvolutionThermodynamics

Publications per year

1989–2020

52

Publications

52

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

Peter Poláčik, Pavol Quíttner, Philippe Souplet · Duke Mathematical Journal · 2007 · 369 citations

Spectral Theory, Elliptic Equation, Liouville-type Theorems +11

The evolution of dispersal rates in a heterogeneous time-periodic environment

V. Hutson, Konstantin Mischaikow, Peter Poláčik · Journal of Mathematical Biology · 2001 · 194 citations

Theoretical Ecology, Evolutionary Biology, Population Dynamic +3

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

Peter Poláčik, Pavol Quíttner, Philippe Souplet · Indiana University Mathematics Journal · 2007 · 121 citations

Spectral Theory, Elliptic Equation, Parabolic Equations +15

Convergence to cycles as a typical asymptotic behavior in smooth strongly monotone discrete-time dynamical systems

Peter Poláčik, Ignác Tereščák · Archive for Rational Mechanics and Analysis · 1992 · 114 citations

Deterministic Dynamical System, Discrete Dynamical System, Stochastic Dynamical System +5

Exponential separation and invariant bundles for maps in ordered Banach spaces with applications to parabolic equations

Peter Poláčik, Ignác Tereščák · Journal of Dynamics and Differential Equations · 1993 · 89 citations

Invariant Bundles, Ordered Banach Spaces, Lie Group +6

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