A Sobolev gradient flow for the area-normalised Dirichlet energy of H 1 maps
-
Shinya Okabe
and
Valentina-Mira Wheeler
Abstract
In this article we study the
Funding source: Japan Society for the Promotion of Science
Award Identifier / Grant number: 20KK0057
Award Identifier / Grant number: 21H00990
Award Identifier / Grant number:
Funding statement: This research was supported in part by the grants JSPS KAKENHI 20KK0057, 21H00990. The fourth author acknowledges support from ARC Discovery Project DP180100431 and ARC DECRA DE190100379.
Acknowledgements
The authors are grateful for the support provided from JSPS KAKENHI Grants 20KK0057 and 21H00990 to facilitate travel to Tohoku University where the majority of this research was completed.
References
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Articles in the same Issue
- Frontmatter
- On the asymptotic behavior of a diffraction problem with a thin layer
- Degenerate parabolic p-Laplacian equations: Existence, uniqueness, and asymptotic behavior of solutions
- Iterative blow-ups for maps with bounded 𝒜-variation: A refinement, with application to BD and BV
- A Sobolev gradient flow for the area-normalised Dirichlet energy of H 1 maps
- An elliptic approximation for phase separation in a fractured material
- The L 1-relaxed area of the graph of the vortex map: Optimal upper bound
- Compactness of Palais–Smale sequences with controlled Morse index for a Liouville-type functional
- Characterization of sets of finite local and non-local perimeter via non-local heat equation
- On nonexpansiveness of metric projection operators on Wasserstein spaces
- A continuous model of transportation in the Heisenberg group
- Universality of renormalisable mappings in two dimensions: the case of polar convex integrands
- Convergence of a heterogeneous Allen–Cahn equation to weighted mean curvature flow
- Harnack inequality for degenerate elliptic equations with matrix weights
- Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel–Zheng theory
- The Capacitary John–Nirenberg Inequality Revisited
Articles in the same Issue
- Frontmatter
- On the asymptotic behavior of a diffraction problem with a thin layer
- Degenerate parabolic p-Laplacian equations: Existence, uniqueness, and asymptotic behavior of solutions
- Iterative blow-ups for maps with bounded 𝒜-variation: A refinement, with application to BD and BV
- A Sobolev gradient flow for the area-normalised Dirichlet energy of H 1 maps
- An elliptic approximation for phase separation in a fractured material
- The L 1-relaxed area of the graph of the vortex map: Optimal upper bound
- Compactness of Palais–Smale sequences with controlled Morse index for a Liouville-type functional
- Characterization of sets of finite local and non-local perimeter via non-local heat equation
- On nonexpansiveness of metric projection operators on Wasserstein spaces
- A continuous model of transportation in the Heisenberg group
- Universality of renormalisable mappings in two dimensions: the case of polar convex integrands
- Convergence of a heterogeneous Allen–Cahn equation to weighted mean curvature flow
- Harnack inequality for degenerate elliptic equations with matrix weights
- Two-scale density of almost smooth functions in sphere-valued Sobolev spaces: A high-contrast extension of the Bethuel–Zheng theory
- The Capacitary John–Nirenberg Inequality Revisited
