Entire Solutions of Cauchy Problem for Parabolic Monge–Ampère Equations.

Autor:	Dai, Limei, Bao, Jiguang
Předmět:	CAUCHY problem UNIQUENESS (Mathematics) DIFFERENTIAL operators DIRICHLET problem MATHEMATICAL singularities
Zdroj:	Advanced Nonlinear Studies; Nov2020, Vol. 20 Issue 4, p769-781, 13p
Abstrakt:	In this paper, we study the Cauchy problem of the parabolic Monge–Ampère equation - u t ⁢ det ⁡ D 2 ⁢ u = f ⁢ (x , t) -u_{t}\det D^{2}u=f(x,t) and obtain the existence and uniqueness of viscosity solutions with asymptotic behavior by using the Perron method. [ABSTRACT FROM AUTHOR]
Databáze:	Complementary Index
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