Publikacje

Piotr Rybka

Liczba publikacji: 64

2023

• Piotr Rybka , Glen Wheeler, Convergence of Solutions to a Convective Cahn–Hilliard-Type Equation of the Sixth Order in Case of Small Deposition Rates, SIAM Journal on Mathematical Analysis, 55 (5) 2023, s. 5823-5861. Zobacz w PBN
• Yoshikazu Giga, Michał Łasica , Piotr Rybka , The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary, Asymptotic Analysis, 135 (3-4) 2023, s. 463-508. Zobacz w PBN

2022

• Tokinaga Namba, Piotr Rybka , Shoichi Sato, Special solutions to the space fractional diffusion problem, FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 25 (6) 2022, s. 2139-2165. Zobacz w PBN
• Piotr Rybka , Ahmad Sabra, The planar Least Gradient problem in convex domains, the case of continuous datum, Nonlinear Analysis, 214 2022, s. 112595: 1-27. Zobacz w PBN

2021

• Michał Łasica , Piotr Rybka , Existence of W^{1,1} solutions to a class of variational problems with linear growth on convex domains, Indiana University Mathematics Journal, 70 (6) 2021, s. 2427-2450. Zobacz w PBN
• Tokinaga Namba, Piotr Rybka , Vaughan Voller, Some comments on using fractional derivative operators in modeling non-local diffusion processes, Journal of Computational and Applied Mathematics, 381 2021, s. 113040, 1-17. Zobacz w PBN
• Piotr Rybka , Ahmad Sabra, The planar least gradient problem in convex domains: the discontinuous case, Nonlinear Differential Equations and Applications, 28 (2) 2021. Zobacz w PBN

2020

• Piotr Rybka , Anna Zatorska-Goldstein , A stationary heat conduction problem in low dimensional sets in R^N, Calculus of Variations and Partial Differential Equations, 59 (1) 2020, s. 1-24. Zobacz w PBN
• M. D. Korzec, Piotr Nayar , Piotr Rybka , Correction to: Global Attractors of Sixth Order PDEs Describing the Faceting of Growing Surfaces, Journal of Dynamics and Differential Equations, 32 (3) 2020, s. 1577-1578. Zobacz w PBN
• Yoshikazu Giga, Ryota Nakayashiki, Piotr Rybka , Ken Shirakawa, On boundary detachment phenomena for the total variation flow with dynamic boundary conditions, Journal of Differential Equations, 269 (12) 2020, s. 10587-10629. Zobacz w PBN
• Tokinaga Namba, Piotr Rybka , On Viscosity Solutions of Space-Fractional Diffusion Equations of Caputo Type, SIAM Journal on Mathematical Analysis, 52 (1) 2020, s. 653-681. Zobacz w PBN

2019

• Yoshikazu Giga, Monika Muszkieta, Piotr Rybka , A duality based approach to the minimizing total variation flow in the space $H^{-s}$, Japan Journal of Industrial and Applied Mathematics, 36 (1) 2019, s. 261–286. Zobacz w PBN
• Maciej Borodzik , Paweł Goldstein , Piotr Rybka , Anna Zatorska-Goldstein , Problems on Partial Differential Equations, 2019. Zobacz w PBN

2018

• Atsushi Nakayasu, Piotr Rybka , Integrability of the derivative of solutions to a singular one-dimensional parabolic problem, Topological Methods in Nonlinear Analysis, 52 (1) 2018, s. 239-257. Zobacz w PBN

2017

• Atsushi Nakayasu, Piotr Rybka , Energy Solutions to One-Dimensional Singular Parabolic Problems with \$\$\ BV\$\$ Data are Viscosity Solutions, Mathematics for Nonlinear Phenomena --- Analysis and Computation: In Honor of Yoshikazu Giga's 60th Birthday, Sapporo, Japan, August 2015, 2017, s. 195-213. Zobacz w PBN
• Piotr Rybka , Ahmad Sabra, Wojciech Górny, Special cases of the planar least gradient problem, Nonlinear Analysis, Theory, Methods and Applications, 151 2017, s. 66-95. Zobacz w PBN
• Adam Kubica, Piotr Rybka , K. Ryszewska, Weak solutions of fractional differential equations in non cylindrical domains, Nonlinear Analysis: Real World Applications, 36 2017, s. 154-18. Zobacz w PBN

2016

• Adam Kubica, Piotr Rybka , Fine singularity analysis of solutions to the Laplace equation: Berg's effect, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016. Zobacz w PBN
• Piotr Rybka , M. D. Korzec, P. Nayar, Global attractors of sixth order PDEs describing the faceting of growing surfaces, Journal of Dynamics and Differential Equations, 28 (1) 2016, s. 49-67. Zobacz w PBN
• Milena Matusik, Piotr Rybka , Oscillating facets, Portugaliae Mathematica, 2016. Zobacz w PBN

2015

• Yoshikazu Giga, Przemysław Górka, Piotr Rybka , Bent rectangles as viscosity solutions over a circle, Nonlinear Analysis, Theory, Methods and Applications, 2015. Zobacz w PBN
• Adam Kubica, Piotr Rybka , Fine singularity analysis of solutions to the Laplace equation., MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015. Zobacz w PBN
• Piotr Mucha , Piotr Rybka , Models of sudden directional diffusion, Variational Methods for Evolving Objects, Sapporo, Japan, 30 lipca 2012 - 3 sierpnia 2012. Zobacz w PBN
• Piotr Mucha , Monika Muszkieta, Piotr Rybka , Two cases of squares evolving by anisotropic diffusion, Advances in Differential Equations, 20 2015, s. 773-800. Zobacz w PBN
• Luigi Ambrosio, Yoshikazu Giga, Piotr Rybka , Yoshihiro Tonegawa, Variational Methods for Evolving Objects, Variational Methods for Evolving Objects, Sapporo, Japan, 30 lipca 2012 - 3 sierpnia 2012. Zobacz w PBN

2014

• M.-H. Giga, Y. Giga, Piotr Rybka , A comparison principle for singular diffusion equations with spatially inhomogeneous driving force for graphs, Archive for Rational Mechanics and Analysis, 2014. Zobacz w PBN
• Piotr Rybka , - M. -H. Giga, - Y. Giga, Erratum to: A Comparison Principle for Singular Diffusion Equations with Spatially Inhomogeneous Driving Force for Graphs, Archive for Rational Mechanics and Analysis, 212 (2) 2014, s. 707-707. Zobacz w PBN

2013

• Piotr Mucha , Piotr Rybka , Karolina Kielak, Almost classical solutions to the total variation flow, JOURNAL OF EVOLUTION EQUATIONS, 13 2013, s. 21-49. Zobacz w PBN
• Piotr Rybka , Yoshikazu Giga, Przemysław Górka, Evolution of regular bent rectangles by the driven crystalline curvature flow in the plane with a non-uniform forcing term, Advances in Differential Equations, 18 (3-4) 2013, s. 201-242. Zobacz w PBN
• Piotr Mucha , Piotr Rybka , Well posedness of sudden directional diffusion equations, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013. Zobacz w PBN
• Piotr Mucha , Piotr Rybka , Well-posedness of sudden directional diffusion equations, MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013. Zobacz w PBN

2012

• Piotr Mucha , Piotr Rybka , A Note on a Model System with Sudden Directional Diffusion, Journal of Statistical Physics, 2012. Zobacz w PBN
• Maciej D. Korzec, Piotr Nayar , Piotr Rybka , Global Weak Solutions to a Sixth Order Cahn-Hilliard Type Equation, SIAM Journal on Mathematical Analysis, 2012. Zobacz w PBN
• M. Korzec, Piotr Rybka , On a higher order convective Cahn-Hilliard-type equation, SIAM Journal on Applied Mathematics, 2012. Zobacz w PBN

2011

• Yoshikazu Giga, Przemysław Górka, Piotr Rybka , A comparison principle for Hamilton-Jacobi equations with discontinuous Hamiltonians, Proceedings of the American Mathematical Society, 2011. Zobacz w PBN

2010

• Przemysław Górka, Piotr Rybka , Existence and uniqueness of solutions to singular ODE's, Archiv der Mathematik, 2010. Zobacz w PBN
• Yoshikazu Giga, Przemysław Górka, Piotr Rybka , Nonlocal spatially inhomogeneous Hamilton-Jacobi equation with unusual free boundary, Discrete and Continuous Dynamical Systems, 2010. Zobacz w PBN
• Danielle Hilhorst, Piotr Rybka , Stabilization of Solutions to a FitzHugh-Nagumo Type System, Journal of Statistical Physics, 2010. Zobacz w PBN
• W. Merz, Piotr Rybka , Strong solutions to the Richards equation in the unsaturated zone, Journal of Mathematical Analysis and Applications, 2010. Zobacz w PBN

2009

• Piotr Mucha , Piotr Rybka , Almost classical solutions of static Stefan type problems involving crystalline curvature, Nonlocal and Abstract Parabolic Equations and their Applications, 2009. Zobacz w PBN
• Yoshikazu Giga, Piotr Rybka , Facet bending driven by the planar crystalline curvature with a generic nonuniform forcing term, Journal of Differential Equations, 2009. Zobacz w PBN
• Piotr Mucha , Marek Niezgódka, Piotr Rybka , Nonlocal and Abstract Parabolic Equations and their Applications, 2009. Zobacz w PBN

2008

• Piotr Mucha , Piotr Rybka , A caricature of a singular flow in the plane, Nonlinearity, 2008. Zobacz w PBN
• Yoshikazu Giga, Piotr Rybka , Etsuro Yokoyama, A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersayuration, Physica D: Nonlinear Phenomena, 2008. Zobacz w PBN
• Yoshikazu Giga, Piotr Rybka , Facet bending in the driven crystalline curvature flow in the plane, Journal of Geometric Analysis, 2008. Zobacz w PBN
• Yoshikazu Giga, Piotr Rybka , Faceted crystals grow from solutions - a Stefan type problem with a singular interfacial energy, 2008. Zobacz w PBN

2007

• Piotr Mucha , Piotr Rybka , A new look at equilibrium in Stefan-type problems in the plane, SIAM Journal on Mathematical Analysis, 2007. Zobacz w PBN

2006

• Piotr Rybka , Convergence of a heat flow on a Hilbert manifold, Proceedings of the Royal Society of Edinburgh Section A: Mathematics, 2006. Zobacz w PBN
• Yoshikazu Giga, Piotr Rybka , Stability of facets of crystals growing from vapor, Discrete and Continuous Dynamical Systems, 2006. Zobacz w PBN

2005

• Yoshikazu Giga, Piotr Rybka , A Stefan type problem arising in modeling ice crystals growing from vapor, 2005. Zobacz w PBN
• Mitchell Luskin, Piotr Rybka , Existence of energy minimizers for magnetostrictive materials, SIAM Journal on Mathematical Analysis, 2005. Zobacz w PBN
• Yoshikazu Giga, Piotr Rybka , Stability of facets of self-similar motion of a crystal, Advances in Differential Equations, 2005. Zobacz w PBN

2004

• W Merz, Piotr Rybka , A free boundary problem describing reaction-diffusion problems in chemical vapor infiltration of pyrolytic carbon, Journal of Mathematical Analysis and Applications, 2004. Zobacz w PBN
• Yoshikazu Giga, Piotr Rybka , Existence of self-similar evolution of crystals grown from supersaturated vapor, Interfaces and Free Boundaries, 2004. Zobacz w PBN

2003

• Y Giga, Piotr Rybka , Bergs effect, Advances in Mathematical Sciences and Applications, 2003. Zobacz w PBN
• Piotr Rybka , Q Tang, D Waxman, Evolution in a changing environment: Existence of solutions, Colloquium Mathematicum, 2003. Zobacz w PBN

2002

• K Hoffmann, Piotr Rybka , Analyticity of the nonlinear term forces convergence of solutions to two equations of continuum mechanics., Nonlinear Analysis, Theory, Methods and Applications, 2002. Zobacz w PBN
• Piotr Rybka , On modified crystalline Stefan problem with singular data., Journal of Differential Equations, 2002. Zobacz w PBN
• Y Giga, Piotr Rybka , Quasi-static evolution of 3-D crystals grown from supersaturated vapor., Differential and Integral Equations, 2002. Zobacz w PBN

2001

• Yoshikazu Giga, Maurizio Paolini, Piotr Rybka , On the motion by singular interfacial energy., Japan Journal of Industrial and Applied Mathematics, 2001. Zobacz w PBN
• Piotr Rybka , The modified crystalline Stefan problem: evolution of broken facets., 2001. Zobacz w PBN

2000

• Piotr Rybka , On convergence of solutions of the crystalline Stefan problem with Gibbs-Thomson law and kinetic undercooling., Interfaces and Free Boundaries, 2000. Zobacz w PBN
• Karl-Heinz Hoffmann, Piotr Rybka , On convergence of solutions to the equation of viscoelasticity with capillarity., Communications in Partial Differential Equations, 2000. Zobacz w PBN

Inne

• Atsushi Nakayasu, Piotr Rybka , Energy Solutions to One-Dimensional Singular Parabolic Problems with $${ BV}$$ Data are Viscosity Solutions, Mathematics for Nonlinear Phenomena --- Analysis and Computation: In Honor of Yoshikazu Giga's 60th Birthday, Sapporo, Japan, August 2015, , s. 195-213. Zobacz w PBN