Sobolev regularity for the Monge-Ampère equation, with application to the semigeostrophic equations
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Publication:744540
DOI10.1007/s10958-013-1649-2zbMath1305.35086OpenAlexW2038751815WikidataQ112631995 ScholiaQ112631995MaRDI QIDQ744540
Publication date: 25 September 2014
Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10958-013-1649-2
Smoothness and regularity of solutions to PDEs (35B65) Meteorology and atmospheric physics (86A10) Viscosity solutions to PDEs (35D40) Monge-Ampère equations (35J96)
Cites Work
- A note on interior \(W^{2,1+ \varepsilon }\) estimates for the Monge-Ampère equation
- A global existence result for the semigeostrophic equations in three dimensional convex domains
- \(W^{2,1+\varepsilon}\) estimates for the Monge-Ampère equation
- Interior \(W^{2,p}\) estimates for solutions of the Monge-Ampère equation
- A localization property of viscosity solutions to the Monge-Ampère equation and their strict convexity
- \(W^{2,1}\) regularity for solutions of the Monge-Ampère equation
- On the regularity of the polar factorization for time dependent maps
- Some regularity properties of solutions of Monge Ampère equation
- Weak Existence for the Semigeostrophic Equations Formulated as a Coupled Monge--Ampère/Transport Problem
- Sur le transport de mesures périodiques
- Some Counterexamples to the Regularity of Monge-Ampere Equations
- Geometric properties of the sections of solutions to the Monge-Ampère equation
- Real analysis related to the Monge-Ampère equation
- Existence of Eulerian Solutions to the Semigeostrophic Equations in Physical Space: The 2-Dimensional Periodic Case
- Lagrangian Solutions of Semigeostrophic Equations in Physical Space
- The Monge-Ampère equation
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