Convex integration with linear constraints and its applications
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Publication:2308378
DOI10.1016/J.JMAA.2020.124028zbMath1434.35283arXiv1605.02340OpenAlexW3009247894MaRDI QIDQ2308378
Publication date: 3 April 2020
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1605.02340
linear constraintsconvex integrationpartial differential inclusionsBaire's category methodvectorial eikonal equation
PDEs with multivalued right-hand sides (35R70) Existence theories for free problems in two or more independent variables (49J10) Initial value problems for nonlinear first-order PDEs (35F25)
Cites Work
- Unnamed Item
- Lack of uniqueness for weak solutions of the incompressible porous media equation
- Bi-convexity and bi-martingales
- Fine phase mixtures as minimizers of energy
- Equilibrium configurations of crystals
- Equilibrium of bars
- Implicit partial differential equations
- An algebraic characterization of quasi-convex functions
- Implicit partial differential equations and the constraints of nonlinear elasticity.
- Convex integration for Lipschitz mappings and counterexamples to regularity
- Two-phase solutions for one-dimensional non-convex elastodynamics
- Convex integration with constraints and applications to phase transitions and partial differential equations
- Existence of Lipschitz minimizers for the three-well problem in solid-solid phase transitions
- Parabolic systems with nowhere smooth solutions
- Implicit PDEs with a linear constraint
- Explicit Construction of Piecewise Affine Mappings with Constraints
- Laminates and microstructure
- Convex integration for a class of active scalar equations
- Proposed experimental tests of a theory of fine microstructure and the two-well problem
- CONVEX INTEGRATION OF DIFFERENTIAL RELATIONS. I
- Rigidity for the four gradient problem
- Direct methods in the calculus of variations
- Optimal existence theorems for nonhomogeneous differential inclusions
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