Peter Polacik

Professor, College of Science & Engineering, Mathematics

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Projects 2008 2019

2 Active
5 Finished

The Twenty-first Riviere Fabes Symposium

Polacik, P.

National Science Foundation

3/1/18 → 2/28/19

Project: Research project

Qualitative studies in nonlinear elliptic and parabolic

Polacik, P.

National Science Foundation

7/1/16 → 6/30/19

Project: Research project

Nonlinear Elliptic Equations

Nonlinear Parabolic Equations

Conference: Dynamics and Differential Equations

Polacik, P.

National Science Foundation

3/1/16 → 2/28/17

Project: Research project

Qualitative studies of solutions of nonlinear elliptic a

Polacik, P.

National Science Foundation

9/1/12 → 8/31/16

Project: Research project

Nonlinear Elliptic Equations

Nonlinear Parabolic Equations

15th Riviere-Fabes Symposium

Polacik, P. & Safonov, M. V.

National Science Foundation

11/1/11 → 10/31/12

Project: Research project

Research Output 1987 2018

72 Article
3 Chapter
2 Editorial
1 Conference contribution
1 More
- 1 Comment/debate

Large-time behavior of solutions of parabolic equations on the real line with convergent initial data

Pauthier, A. & Poláčik, P., Aug 7 2018, In : Nonlinearity. 31, 9, p. 4423-4441 19 p.

Research output: Contribution to journal › Article

Large Time Behavior

Behavior of Solutions

Real Line

Parabolic Equation

Locally Lipschitz Function

1 Citations

An entire solution of a bistable parabolic equation on R with two colliding pulses

Matano, H. & Poláčik, P., Mar 1 2017, In : Journal of Functional Analysis. 272, 5, p. 1956-1979 24 p.

Research output: Contribution to journal › Article

Entire Solution

Parabolic Equation

Heteroclinic Orbit

Semilinear Parabolic Equation

Uniform convergence

1 Citations

Convergence and Quasiconvergence Properties of Solutions of Parabolic Equations on the Real Line: An Overview

Poláčik, P., Jan 1 2017, Patterns of Dynamics - In Honour of Bernold Fiedler’s 60th Birthday. Springer New York LLC, Vol. 205, p. 172-183 12 p.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Real Line

Parabolic Equation

Omega Limit Set

Semilinear Parabolic Equation

Large Time Behavior

1 Citations

Existence of quasiperiodic solutions of elliptic equations on R^N+1 via center manifold and KAM theorems

Poláčik, P. & Valdebenito, D. A., Jun 15 2017, In : Journal of Differential Equations. 262, 12, p. 6109-6164 56 p.

Research output: Contribution to journal › Article

KAM Theorem

Center Manifold Theorem

Quasi-periodic Solutions

Elliptic Equations

Center Manifold Reduction

1 Citations

Propagating terraces in a proof of the Gibbons conjecture and related results

Poláčik, P., Mar 1 2017, In : Journal of Fixed Point Theory and Applications. 19, 1, p. 113-128 16 p.

Research output: Contribution to journal › Article

Attractivity

Semilinear Elliptic Equations

Parabolic Problems

Symmetry