Concept
Pseudoconvexity
Related publications (4)
Asymptotic Behavior of Solutions to the Helmholtz Equations with Sign Changing Coefficients
This paper is devoted to the study of the behavior of the unique solution u delta is an element of H-0(1)(Omega), as delta -> 0, to the equation div(s(delta)A del u(delta)) + k(2)s(0)Sigma u(delta) = s0 f in Omega, where Omega is a smooth connected bounded ...
American Mathematical Society2015A global existence result for the semigeostrophic equations in three dimensional convex domains
Exploiting recent regularity estimates for the Monge-Ampère equation, under some suitable assumptions on the initial data we prove global-in-time existence of Eulerian distributional solutions to the semigeostrophic equations in 3-dimensional convex domain ...
2014A Global Existence Result for the Semigeostrophic Equations in Three Dimensional Convex Domains
Exploiting recent regularity estimates for the Monge-Ampere equation, under some suitable assumptions on the initial data we prove global in-time existence of Eulerian distributional solutions to the semigeostrophic equations in 3-dimensional convex domain ...
2014Nodal high-order methods on unstructured grids - I. Time-domain solution of Maxwell's equations
We present a convergent high-order accurate scheme for the solution of linear conservation laws in geometrically complex domains. As our main example we include a detailed development and analysis of a scheme for the time-domain solution of Maxwell's equat ...
ACADEMIC PRESS INC ELSEVIER SCIENCE2002