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A Discrete Isoperimetric Inequality on Lattices

Discrete & computational geometry, 2014-09, Vol.52 (2), p.221-239

Hamamuki, Nao

2014

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On a dynamic boundary condition for singular degenerate parabolic equations in a half space

Nonlinear differential equations and applications, 2018-12, Vol.25 (6), Article 51

2018

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A Self-Affine Property of Evolutional Type Appearing in a Hamilton–Jacobi Flow Starting from the Takagi Function

The Michigan mathematical journal, 2022-03, Vol.71 (1)

2022

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Eikonal equations in metric spaces

Transactions of the American Mathematical Society, 2015-01, Vol.367 (1), p.49-66

2015

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A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications

SN partial differential equations and applications, 2021-04, Vol.2 (2), Article 30

2021

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A Dynamical Approach to Lower Gradient Estimates for Viscosity Solutions of Hamilton–Jacobi Equations

SIAM journal on mathematical analysis, 2023-01, Vol.55 (4), p.3169-3204

2023

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A lower spatially Lipschitz bound for solutions to fully nonlinear parabolic equations and its optimality

Indiana University mathematics journal, 2023, Vol.72 (2), p.455-487

2023

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An improvement of level set equations via approximation of a distance function

Applicable analysis, 2019-07, Vol.98 (10), p.1901-1915

Hamamuki, Nao

2019

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Harnack inequalities for supersolutions of fully nonlinear elliptic difference and differential equations

Journal of mathematical analysis and applications, 2016-06, Vol.438 (1), p.184-199

Hamamuki, Nao

2016

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A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions

ESAIM. Control, optimisation and calculus of variations, 2020, Vol.26, p.13

2020

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Asymptotically self-similar solutions to curvature flow equations with prescribed contact angle and their applications to groove profiles due to evaporation-condensation

Advances in differential equations, 2014-03, Vol.19 (3/4)

Hamamuki, Nao

2014

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Hamilton-Jacobi Equations with Discontinuous Source Terms

Communications in partial differential equations, 2013-02, Vol.38 (2), p.199-243

2013

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A rigorous setting for the reinitialization of first order level set equations

Interfaces and free boundaries, 2016-01, Vol.18 (4), p.579-621

2016

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All the generalized characteristics for the solution to a Hamilton–Jacobi equation with the initial data of the Takagi function

SN partial differential equations and applications, 2020-12, Vol.1 (6), Article 38

2020

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On cell problems for Hamilton–Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems

Journal of Differential Equations, 2015-12, Vol.259 (11), p.6672-6693

2015

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A Discrete Isoperimetric Inequality on Lattices

On a dynamic boundary condition for singular degenerate parabolic equations in a half space

A Self-Affine Property of Evolutional Type Appearing in a Hamilton–Jacobi Flow Starting from the Takagi Function

Eikonal equations in metric spaces

A game-theoretic approach to dynamic boundary problems for level-set curvature flow equations and applications

A Dynamical Approach to Lower Gradient Estimates for Viscosity Solutions of Hamilton–Jacobi Equations

A lower spatially Lipschitz bound for solutions to fully nonlinear parabolic equations and its optimality

An improvement of level set equations via approximation of a distance function

Harnack inequalities for supersolutions of fully nonlinear elliptic difference and differential equations

A deterministic game interpretation for fully nonlinear parabolic equations with dynamic boundary conditions

Asymptotically self-similar solutions to curvature flow equations with prescribed contact angle and their applications to groove profiles due to evaporation-condensation

Hamilton-Jacobi Equations with Discontinuous Source Terms

A rigorous setting for the reinitialization of first order level set equations

All the generalized characteristics for the solution to a Hamilton–Jacobi equation with the initial data of the Takagi function

On cell problems for Hamilton–Jacobi equations with non-coercive Hamiltonians and their application to homogenization problems

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