Weak solution of parabolic complex Monge–Ampère equation II
نویسندگان
چکیده
منابع مشابه
Weak Solution of Parabolic Complex Monge-ampère Equation
We study the equation u̇ = log det(uαβ̄)−Au+f(z, t) in domains of C. This equation has a close connection with the Kähler-Ricci flow. In this paper, we consider the case where the boundary condition is smooth and the initial condition is irregular.
متن کاملExplosive solution of the nonlinear equation of a parabolic type
In this paper the unbounded increasing solution of the scalar nonlinear partial equation of the parabolic type for the finite time is investigated. The sufficient condition for nonlinearity is established under this condition every solution of the investigated problem is exploded by absence restriction to smallness on the initial function. The existence of the solution is proved by smallness of...
متن کاملThe entropy solution of a hyperbolic-parabolic mixed type equation
The entropy solution of the equation [Formula: see text]is considered. Besides the usual initial value, only a partial boundary value is imposed. By choosing some special test functions, the stability of the solutions is obtained by Kruzkov's bi-variables method, provided that [Formula: see text] is an unit n-dimensional cube or the half space.
متن کاملNumerical Solution for Parabolic Equation with Nonlocal Conditions
In this paper, we study a parabolic equation with purely nonlocal (integral) conditions. We present a numerical approximate solution by Laplace transform method. Some experimental numerical results using the proposed numerical procedure are discussed.
متن کاملPeriodic Solutions of a Nonlinear Parabolic Equation, Ii
Based on a strict coercivity estimate 8] for a class of nonlinear elliptic operators A : u 7 ! ra(; jruj)ru, it is shown that (with suitable consistency conditions on the data) the problem: _ u + Au = f; aru ~ n = '; time periodicity has a unique solution depending continuously on f; ' and also on the nonlin-ear form of the diiusion coeecient a(). This is then used to obtain existence by a xpoi...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2016
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x16500981