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Dr. Paschalis Karageorgis
Assistant Professor, Pure & Applied Mathematics

Publications and Further Research Outputs

Peer-Reviewed Publications

Paschalis Karageorgis and Filippo Gazzola, Refined blow-up results for nonlinear fourth order differential equations, Communications on Pure and Applied Analysis, 14, (2), 2015, p677 - 693 Journal Article, 2015

Paschalis Karageorgis and John Stalker, A lower bound for the amplitude of traveling waves of suspension bridges, Nonlinear Analysis, 75, (13), 2012, p5212 - 5214 Journal Article, 2012

Paschalis Karageorgis, Dispersion relation for water waves with non-constant vorticity , European Journal of Mechanics - B/Fluids, 34, 2012, p7 - 12 Journal Article, 2012 TARA - Full Text

Paschalis Karageorgis, Asymptotic expansion of radial solutions for supercritical biharmonic equations , Nonlinear Differential Equations and Applications, 19, (4), 2012, p401 - 415 Journal Article, 2012

Elvise Berchio, Alberto Ferrero, Filippo Gazzola and Paschalis Karageorgis , Qualitative behavior of global solutions to some nonlinear fourth order differential equations , Journal of Differential Equations, 251, (10), 2011, p2696 - 2727 Journal Article, 2011

Paschalis Karageorgis, P.J. McKenna, Existence of ground states for fourth-order wave equations, Nonlinear Analysis: Theory, Methods & Applications, 73, (2), 2010, p367-373 Journal Article, 2010 TARA - Full Text

Alberto Ferrero and Hans-Christoph Grunau and Paschalis Karageorgis, Supercritical biharmonic equations with power-type nonlinearity, Annali di Matematica Pura ed Applicata, 188, (1), 2009, p171 - 185 Journal Article, 2009 TARA - Full Text

Paschalis Karageorgis, Stability and intersection properties of solutions to the nonlinear biharmonic equation, Nonlinearity, 22, (7), 2009, p1653 - 1661 Journal Article, 2009

Paschalis Karageorgis and John Stalker, Sharp bounds on 2m/r for static spherical objects, Classical and Quantum Gravity, 25, (19), 2008, p195021 (14 pp.) Journal Article, 2008

Paschalis Karageorgis and Walter A. Strauss, Instability of steady states for nonlinear wave and heat equations, Journal of Differential Equations, 241, (1), 2007, p184 - 205 Journal Article, 2007

Paschalis Karageorgis and Kimitoshi Tsutaya, On the asymptotic behavior of nonlinear waves in the presence of a short-range potential, Manuscripta Mathematica, 119, (3), 2006, p323 - 345 Journal Article, 2006

Paschalis Karageorgis and Kimitoshi Tsutaya, Small-data scattering for nonlinear waves of critical decay in two space dimensions, Differential and Integral Equations, 19, (6), 2006, p601 - 626 Journal Article, 2006

Paschalis Karageorgis, Small-data scattering for nonlinear waves with potential and initial data of critical decay, Discrete and Continuous Dynamical Systems, 16, (1), 2006, p87 - 106 Journal Article, 2006

Paschalis Karageorgis, Existence and blow up of small-amplitude nonlinear waves with a sign-changing potential, Journal of Differential Equations, 219, (2), 2005, p259 - 305 Journal Article, 2005

Research Expertise

Keywords

Mathematical analysis; Pure mathematics