Results 21 to 30 of about 61,943 (76)
Differential invariants of generic parabolic Monge–Ampère equations [PDF]
, 2008 Some new results on the geometry of classical parabolic Monge–Ampère equations (PMAs) are presented. PMAs are either integrable, or non-integrable according to the integrability of its characteristic distribution.
D. C. Ferraioli, Alexandre M. Vinogradov
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The Initial and Neumann Boundary Value Problem for a Class Parabolic Monge‐Ampère Equation
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We consider the existence, uniqueness, and asymptotic behavior of a classical solution to the initial and Neumann boundary value problem for a class nonlinear parabolic equation of Monge‐Ampère type. We show that such solution exists for all times and is unique.
Juan Wang +3 more
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Viscosity solutions of fully nonlinear functional parabolic PDE
International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 22, Page 3539-3550, 2005., 2005 By the technique of coupled solutions, the notion of viscosity solutions is extended to fully nonlinear retarded parabolic equations. Such equations involve many models arising from optimal control theory, economy and finance, biology, and so forth. The comparison principle is shown.
Liu Wei-an, Lu Gang
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MathematicsThe paper studies an unsteady equation with quadratic nonlinearity in second derivatives, that occurs in electron magnetohydrodynamics. In mathematics, such PDEs are referred to as parabolic Monge–Ampère equations.
Andrei D. Polyanin, Alexander V. Aksenov
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Well‐Posed and Ill‐Posed Boundary Value Problems for PDE 2013
, 2013 Abstract and Applied Analysis, Volume 2013, Issue 1, 2013.
Allaberen Ashyralyev +5 more
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A Calabi theorem for solutions to the parabolic Monge–Ampère equation with periodic data
Annales de l'Institut Henri Poincare. Analyse non linéar, 2017 We classify all solutions to − u t det D 2 u = f ( x ) in R − n + 1 , where f ∈ C α ( R n ) is a positive periodic function in x . More precisely, if u is a parabolically convex solution to above equation, then u is the sum of a convex quadratic ...
Wei Zhang, J. Bao
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Design of freeform mirrors using the concentric rings method. [PDF]
Heliyon, 2023 González-García J +2 more
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Optimal transport and control of active drops. [PDF]
Proc Natl Acad Sci U S A, 2022 Shankar S, Raju V, Mahadevan L.
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Exterior problems of parabolic Monge-Ampère equations for n=2
Computers and Mathematics with Applications, 2014 Limei Dai
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