Theory of functions of bounded variation and its applications
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Publication:5039589
DOI10.1090/suga/466OpenAlexW4224081746MaRDI QIDQ5039589
Publication date: 30 September 2022
Published in: Sugaku Expositions (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/suga/466
Measurable and nonmeasurable functions, sequences of measurable functions, modes of convergence (28A20) Absolutely continuous real functions of several variables, functions of bounded variation (26B30) Functions of bounded variation, generalizations (26A45)
Cites Work
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- Existence and uniqueness of a solution in the space of BV functions to the equation of a vibrating membrane with a ``viscosity term
- Existence of solutions to the Kobayashi-Warren-Carter system
- Erratum to: ``Characterization of generalized gradient Young measures generated by sequences in \(W ^{1,1}\) and \(BV\)
- Erratum and addendum to ``Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
- Characterizations of Young measures generated by gradients
- Correction to: ``A varifold solution to the nonlinear wave equation of motion of a vibrating membrane
- Gradient Young measures generated by sequences in Sobolev spaces
- An analysis of the nonlinear equation of motion of a vibrating membrane in the space of BV functions
- Local solvability of a constrained gradient system of total variation
- The anisotropic total variation flow
- Minimizing total variation flow
- A remark on Dirichlet boundary condition for the nonlinear equation of motion of a vibrating membrane.
- The asymptotic behaviour of the radially symmetric solutions to quasilinear wave equations in two space dimensions
- Solvability of one-dimensional phase field systems associated with grain boundary motion
- Periodic total variation flow of non-divergence type in \(\mathbb R^n\)
- Linear approximation for equations of motion of vibrating membrane with one parameter
- Variational Analysis in Sobolev and BV Spaces
- Weakly Differentiable Functions
- Functions of bounded higher variation
- Curvature-Driven Flows: A Variational Approach
- Minimizing total variation flow
- Some fine properties of currents and applications to distributional Jacobians
- Compactness of special functions of bounded higher variation
- On application of direct variational methods to the solution of parabolic boundary value problems of arbitrary order in the space variables
- Hyperbolic Conservation Laws in Continuum Physics
- The Dirichlet problem for the total variation flow