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Convergence to self-similar solutions for a semilinear parabolic equation

JOURNAL ARTICLE published 2008 in Discrete & Continuous Dynamical Systems - A

Authors: Marek Fila | ,Department of Applied Mathematics and Statistics, Comenius University, 842 48 Bratislava | Michael Winkler | Eiji Yanagida | ,Department of Mathematics I, Wüllnerstr. 5-7, RWTH Aachen, 52056 Aachen | ,Mathematical Institute, Tohoku University, Sendai 980-8578

Existence, uniqueness, and stability of periodic solutions of an equation of duffing type

JOURNAL ARTICLE published 2007 in Discrete & Continuous Dynamical Systems - A

Authors: Hongbin Chen | ,Department of Mathematics, Xi'an Jiaotong University, Xi'an | Yi Li | ,Department of Mathematics, The University of Iowa, Iowa City, IA 52242

On the optimal coefficient control in a heat equation

JOURNAL ARTICLE published 2018 in Discrete and Continuous Dynamical Systems - S

Authors: Seda İǧret Araz | Siirt University, Department of Mathematics Education, Siirt, Turkey | Murat Subașı | Ataturk University, Science Faculty, Department of Mathematics, Erzurum, Turkey

A Jang equation approach to the Penrose inequality

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Hubert L. Bray | ,Department of Mathematics, Duke University, Box 90320, Durham, NC 27708 | Marcus A. Khuri | ,Department of Mathematics, Stony Brook University, Stony Brook, NY 11794-3651

An analytic approach to stability

JOURNAL ARTICLE published November 2010 in Discrete Mathematics

Research funded by National Science Foundation (DMS-0758057)

Authors: Oleg Pikhurko

Existence of solution for a generalized stochastic Cahn-Hilliard equation on convex domains

JOURNAL ARTICLE published 2011 in Discrete & Continuous Dynamical Systems - B

Authors: Dimitra Antonopoulou | ,Department of Applied Mathematics, University of Crete, Heraklion | Georgia Karali | ,Department of Applied Mathematics, University Crete, P.O. Box 2208, 71409, Heraklion, Crete

Stability of time reversed waves in changing media

JOURNAL ARTICLE published 2005 in Discrete & Continuous Dynamical Systems - A

Authors: Guillaume Bal | ,Department of Applied Physics and Applied Mathematics, Columbia University, New York NY, 10027 | Lenya Ryzhik | ,Department of Mathematics, University of Chicago, Chicago IL, 60637

Local well-posedness in low regularity of the MKDV equation with periodic boundary condition

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Kenji Nakanishi | ,Department of Mathematics, Kyoto University, Kyoto 606-8502 | Hideo Takaoka | Yoshio Tsutsumi | ,Department of Mathematics, Hokkaido University, Sapporo 060-0810

Homogenization and corrector theory for linear transport in random media

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Guillaume Bal | ,Department of Applied Physics and Applied Mathematics, Columbia University, New York NY, 10027 | Wenjia Jing | ,Department of Applied Physics and Applied Mathematics, Columbia University, New York, NY 10027

Short-time pattern formation in thin film equations

JOURNAL ARTICLE published 2009 in Discrete & Continuous Dynamical Systems - A

Authors: Hyung Ju Hwang | ,Department of Mathematics, Pohang University of Science and Technology, Pohang 790-784 | Thomas P. Witelski | ,Mathematics Department, Duke University, Box 90320, Durham, NC 27708-0320

Global stability in the 2D Ricker equation revisited

JOURNAL ARTICLE published 2017 in Discrete & Continuous Dynamical Systems - B

Authors: Brian Ryals | ,Department of Mathematics, California State University Bakersfield, Bakersfield, CA 93311-1022, USA | Robert J. Sacker | ,Department of Mathematics, University of Southern California, Los Angeles, CA 90089-2532, USA

Bifurcation structure of a discrete neuronal equation

JOURNAL ARTICLE published September 1988 in Discrete Applied Mathematics

Authors: Michel Cosnard | Eric Goles Chacc | Driss Moumida

Stability analysis for SIS epidemic models with vaccination and constant population size

JOURNAL ARTICLE published 2004 in Discrete & Continuous Dynamical Systems - B

Authors: Jianquan Li | ,Department of Applied Mathematics, Xi'an Jiaotong University, Xi'an, 710049 | Zhien Ma | ,Department of Applied Mathematics, College of Science, Xian Jiaotong University, Xian 710049

Dead-core rates for the heat equation with a spatially dependent strong absorption

JOURNAL ARTICLE published 2013 in Discrete & Continuous Dynamical Systems - B

Authors: Chin-Chin Wu | ,Department of Applied Mathematics, National Chung Hsing University, 250, Kuo Kuang Road, Taichung 402 | Zhengce Zhang | ,School of Mathematics and Statistics, Xi'an Jiaotong University, Xi'an, 710049

Partial regularity of Brenier solutions of the Monge-Ampère equation

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Alessio Figalli | ,Department of Mathematics, The University of Texas at Austin, Austin TX 78712 | Young-Heon Kim | ,Department of Mathematics, University of British Columbia, Vancouver BC V6T 1Z2

Eigenseries solutions to optimal control problem and controllability problems on hyperbolic PDEs

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - B

Authors: Hee-Dae Kwon | ,Department of Mathematics, Inha University, Incheon, 402-751 | Jeehyun Lee | Sung-Dae Yang | ,Department of Mathematics, Yonsei University, Shinchondong, Seodaemungu, Seoul 120-749 | ,National Institute for Mathematical Science, 628 Daeduk-Boulevard Yuseong-gu, Daejeon 305-340

Spatial structures and generalized travelling waves for an integro-differential equation

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - B

Authors: Narcisa Apreutesei | ,Department of Mathematics, Technical University of Iasi, Iasi | Nikolai Bessonov | Vitaly Volpert | Vitali Vougalter | ,Institute of Mechanical Engineering Problems, 199178 Saint Petersburg | ,Institute of Mathematics, University Lyon 1, 69622 Villeurbann | ,University of Toronto, Department of Mathematics, Toronto, ON, M5S 2E4

Self-trapping and Josephson tunneling solutions to the nonlinear Schrödinger / Gross-Pitaevskii equation

JOURNAL ARTICLE published 2015 in Discrete & Continuous Dynamical Systems - A

Authors: Roy H. Goodman | ,Department of Mathematical Sciences, New Jersey Institute of Technology, University Heights, Newark, NJ 07102 | Jeremy L. Marzuola | Michael I. Weinstein | ,Mathematics Department, University of North Carolina, Phillips Hall, CB#3250, Chapel Hill, NC 27599 | ,Department of Applied Physics and Applied Mathematics, Department of Mathematics, Columbia University, New York City, NY 10024

Qualitative analysis of solutions for a parabolic type Kirchhoff equation with logarithmic nonlinearity

JOURNAL ARTICLE published 31 December 2021 in Open Journal of Discrete Applied Mathematics

Authors: Erhan Pişkin | Department of Mathematics, Dicle University, 21280 Diyarbakır, Turkey | Tuğrul Cömert | Department of Mathematics, Dicle University, 21280 Diyarbakır, Turkey

Stability of solitary-wave solutions to the Hirota-Satsuma equation

JOURNAL ARTICLE published 2010 in Discrete & Continuous Dynamical Systems - A

Authors: Jerry L. Bona | ,Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago, Chicago, IL 60607 | Didier Pilod | ,UFRJ, Institute of Mathematics, Federal University of Rio de Janeiro, P.O. Box 68530, CEP: 21945-970, Rio de Janeiro, RJ