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The planar least gradient problem in convex domains: the discontinuous case

Nonlinear differential equations and applications, 2021-03, Vol.28 (2), Article 15

2021

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Special cases of the planar least gradient problem

Nonlinear analysis, 2017-03, Vol.151, p.66-95

2017

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A stationary heat conduction problem in low dimensional sets in RN

Calculus of variations and partial differential equations, 2020, Vol.59 (1)

2020

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Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile

Nonlinear differential equations and applications, 2024-07, Vol.31 (4), Article 56

2024

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A duality based approach to the minimizing total variation flow in the space $$H^{-s}

Japan journal of industrial and applied mathematics, 2019-01, Vol.36 (1), p.261-286

2019

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The planar Least Gradient problem in convex domains, the case of continuous datum

Nonlinear analysis, 2022-01, Vol.214, p.112595, Article 112595

2022

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O potrzebie monografii (użycia) IPA

LingVaria, 2013-12, Vol.8 (15), p.15-25

Rybka, Piotr

2013

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Fine singularity analysis of solutions to the Laplace equation

Mathematical methods in the applied sciences, 2015-06, Vol.38 (9), p.1734-1745

2015

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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, 2023-10, Vol.55 (5), p.5823-5861

2023

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Problems on Partial Differential Equations

1st ed. 2019., 2019

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Well posedness of sudden directional diffusion equations

Mathematical methods in the applied sciences, 2013-11, Vol.36 (17), p.2359-2370

2013

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On Viscosity Solutions of Space-Fractional Diffusion Equations of Caputo Type

SIAM journal on mathematical analysis, 2020-01, Vol.52 (1), p.653-681

Rybka, Piotr

2020

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Convergence of a heat flow on a Hilbert manifold

Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 2006-08, Vol.136 (4), p.851-862

Rybka, Piotr

2006

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Existence of W^{1,1} solutions to a class of variational problems with linear growth on convex domains

Indiana University mathematics journal, 2021, Vol.70 (6), p.2427-2450

2021

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Almost classical solutions to the total variation flow

Journal of evolution equations, 2013-03, Vol.13 (1), p.21-49

2013

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A comparison principle for Hamilton-Jacobi equations with discontinuous Hamiltonians

Proceedings of the American Mathematical Society, 2011-05, Vol.139 (5), p.1777-1785

2011

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A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation

Physica. D, 2008-11, Vol.237 (22), p.2845-2855

2008

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A caricature of a singular curvature flow in the plane

Nonlinearity, 2008-10, Vol.21 (10), p.2281-2316

2008

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The free material design problem for the stationary heat equation on low dimensional structure

Nonlinearity, 2023-08, Vol.36 (8), p.4501-4521

2023

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A stationary heat conduction problem in low dimensional sets in $${\mathbb {R}}^N

Calculus of variations and partial differential equations, 2020-02, Vol.59 (1), Article 40

2020

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Special solutions to the space fractional diffusion problem

Fractional calculus & applied analysis, 2022-12, Vol.25 (6), p.2139-2165

2022

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On boundary detachment phenomena for the total variation flow with dynamic boundary conditions

Journal of Differential Equations, 2020-12, Vol.269 (12), p.10587-10629

2020

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Integrability of the derivative of solutions to a singular one-dimensional parabolic problem

Topological Methods in Nonlinear Analysis, 2018-09, p.1

2018

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The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary

Asymptotic analysis, 2023-11, Vol.135 (3-4), p.463-508

2023

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A NEW LOOK AT EQUILIBRIA IN STEFAN-TYPE PROBLEMS IN THE PLANE

SIAM journal on mathematical analysis, 2007-01, Vol.39 (4), p.1120-1134

2007

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The planar least gradient problem in convex domains: the discontinuous case

Special cases of the planar least gradient problem

A stationary heat conduction problem in low dimensional sets in RN

Convergence of solutions of a one-phase Stefan problem with Neumann boundary data to a self-similar profile

A duality based approach to the minimizing total variation flow in the space $$H^{-s}

The planar Least Gradient problem in convex domains, the case of continuous datum

O potrzebie monografii (użycia) IPA

Fine singularity analysis of solutions to the Laplace equation

Convergence of Solutions to a Convective Cahn–Hilliard-Type Equation of the Sixth Order in Case of Small Deposition Rates

Problems on Partial Differential Equations

Well posedness of sudden directional diffusion equations

On Viscosity Solutions of Space-Fractional Diffusion Equations of Caputo Type

Convergence of a heat flow on a Hilbert manifold

Existence of W^{1,1} solutions to a class of variational problems with linear growth on convex domains

Almost classical solutions to the total variation flow

A comparison principle for Hamilton-Jacobi equations with discontinuous Hamiltonians

A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation

A caricature of a singular curvature flow in the plane

The free material design problem for the stationary heat equation on low dimensional structure

A stationary heat conduction problem in low dimensional sets in $${\mathbb {R}}^N

Special solutions to the space fractional diffusion problem

On boundary detachment phenomena for the total variation flow with dynamic boundary conditions

Integrability of the derivative of solutions to a singular one-dimensional parabolic problem

The heat equation with the dynamic boundary condition as a singular limit of problems degenerating at the boundary

A NEW LOOK AT EQUILIBRIA IN STEFAN-TYPE PROBLEMS IN THE PLANE

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