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Hokkaido University Collection of Scholarly and Academic Papers >
Showing results 1 to 20 of 1044
Showing results 1 to 20 of 1044
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Recent SubmissionsGiga, Yoshikazu... [et al.] (2022) The fourth-order total variation flow in R^n. Hokkaido University Preprint Series in Mathematics, 1145: 1-38 We define rigorously a solution to the fourth-order 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 HAMILTON-JACOBI EQUATIONS. Hokkaido University Preprint Series in Mathematics, 1144: 1-34 We derive lower bound estimates for gradients of a viscosity solution to a Hamilton-Jacobi equation ....
GIGA, YOSHIKAZU... [et al.] (2022) EXHAUSTIVE EXISTENCE AND NON-EXISTENCE RESULTS FOR HARDY–HÉNON EQUATIONS IN Rn. Hokkaido University Preprint Series in Mathematics, 1143: 1-30 This paper concerns solutions to the Hardy–Hénon equation −Δu = |x|σup in Rⁿ with n ≥ 1 and arbitrar....
GIGA, MI-HO... [et al.] (2022) CRYSTALLINE SURFACE DIFFUSION FLOW FOR GRAPH-LIKE CURVES. Hokkaido University Preprint Series in Mathematics, 1142: 1-35 This paper studies a fourth-order 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: 1-23 Two kinds of weak comparison principles are established for a viscosity sub- and supersolution to a ....
GIGA, YOSHIKAZU... [et al.] (2021) MOTION BY CRYSTALLINE-LIKE MEAN CURVATURE : A SURVEY. Hokkaido University Preprint Series in Mathematics, 1140: 1-76 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: 1-42 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 TIME-FRACTIONAL DIFFUSION EQUATION. Hokkaido University Preprint Series in Mathematics, 1138: 1-17 We consider an initial-boundary value problem for the time-fractional diffusion equation. We prove t....
Giga, Yoshikazu... [et al.] (2021) Continuity of derivatives of a convex solution to a perturbed one-Laplace equation by p-Laplacian. Hokkaido University Preprint Series in Mathematics, 1137: 1-29 We consider a one-Laplace equation perturbed by p-Laplacian with 1 < p < ∞. We prove that a weak sol....
Giga, Mi-Ho... [et al.] (2021) CRYSTALLINE FLOW STARTING FROM A GENERAL POLYGON. Hokkaido University Preprint Series in Mathematics, 1136: 1-24 This paper solves a singular initial value problem for a system of ordinary di erential equations de....
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