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Showing results 1 to 20 of 1044
Showing results 1 to 20 of 1044

Recent SubmissionsGiga, Yoshikazu... [et al.] (2022) The fourthorder total variation flow in R^n. Hokkaido University Preprint Series in Mathematics, 1145: 138 We define rigorously a solution to the fourthorder total variation flow equation in Rn. If n ≥ 3, i....
HAMAMUKI, NAO... [et al.] (2022) A DYNAMICAL APPROACH TO LOWER GRADIENT ESTIMATES FOR VISCOSITY SOLUTIONS OF HAMILTONJACOBI EQUATIONS. Hokkaido University Preprint Series in Mathematics, 1144: 134 We derive lower bound estimates for gradients of a viscosity solution to a HamiltonJacobi equation ....
GIGA, YOSHIKAZU... [et al.] (2022) EXHAUSTIVE EXISTENCE AND NONEXISTENCE RESULTS FOR HARDY–HÉNON EQUATIONS IN Rn. Hokkaido University Preprint Series in Mathematics, 1143: 130 This paper concerns solutions to the Hardy–Hénon equation −Δu = xσup in Rⁿ with n ≥ 1 and arbitrar....
GIGA, MIHO... [et al.] (2022) CRYSTALLINE SURFACE DIFFUSION FLOW FOR GRAPHLIKE CURVES. Hokkaido University Preprint Series in Mathematics, 1142: 135 This paper studies a fourthorder crystalline curvature ow for a curve represented by the graph of a....
Hamamuki, Nao... [et al.] (2022) Weak comparison principles for fully nonlinear degenerate parabolic equations with discontinuous source terms. Hokkaido University Preprint Series in Mathematics, 1141: 123 Two kinds of weak comparison principles are established for a viscosity sub and supersolution to a ....
GIGA, YOSHIKAZU... [et al.] (2021) MOTION BY CRYSTALLINELIKE MEAN CURVATURE : A SURVEY. Hokkaido University Preprint Series in Mathematics, 1140: 176 We consider a class of anisotropic curvature flows called a crystalline curvature flow. We present a....
Giga, Yoshikazu... [et al.] (2021) The Helmholtz decomposition of a space of vector fields with bounded mean oscillation in a bounded domain. Hokkaido University Preprint Series in Mathematics, 1139: 142 We introduce a space of vector fields with bounded mean oscillation whose "tangential"and "normal" c....
GIGA, YOSHIKAZU... [et al.] (2021) ON THE EQUIVALENCE OF VISCOSITY SOLUTIONS AND DISTRIBUTIONAL SOLUTIONS FOR THE TIMEFRACTIONAL DIFFUSION EQUATION. Hokkaido University Preprint Series in Mathematics, 1138: 117 We consider an initialboundary value problem for the timefractional diffusion equation. We prove t....
Giga, Yoshikazu... [et al.] (2021) Continuity of derivatives of a convex solution to a perturbed oneLaplace equation by pLaplacian. Hokkaido University Preprint Series in Mathematics, 1137: 129 We consider a oneLaplace equation perturbed by pLaplacian with 1 < p < ∞. We prove that a weak sol....
Giga, MiHo... [et al.] (2021) CRYSTALLINE FLOW STARTING FROM A GENERAL POLYGON. Hokkaido University Preprint Series in Mathematics, 1136: 124 This paper solves a singular initial value problem for a system of ordinary di erential equations de....
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