Sentence examples for proving existence from inspiring English sources

In this paper, we establish a novel approach to proving existence of non-negative weak solutions for degenerate parabolic equations of fourth order, like the Cahn Hilliard and certain thin film equations.

The uniform bounds required for proving existence are established by means of a new estimate, which is a partial generalisation of the commutator estimate of Kato and Ponce (1988) [13].

We have recently developed a robust framework for proving existence of weak solutions to this class of problems, allowing the treatment of various structures (Koiter shell, multi-layered composite structures, mesh-supported structures), and various coupling conditions (no-slip and Navier slip).

In later publications, Agmon and Hörmander have other ways of proving existence and completeness by exploiting a radiation condition.

These boundedness estimates will play a crucial role in proving existence and uniqueness of solutions of the HJB equation.

Proving existence results of fixed points on partially ordered metric spaces has been a relatively new development in metric fixed points theory.

Archives|ARCTIC LAND IN MIRAGE.; British Explorers Think It Proves Existence of Long-Sought Area. Long-Sought Area

ARCTIC LAND IN MIRAGE.; British Explorers Think It Proves Existence of Long-Sought Area. Long-Sought Area

The results proved existence of characteristic neural responses to continuously presented Shepard's tones.

The purpose of this paper is to prove existence of optimal design for the new model.

In this paper we prove existence and characterization of the global attractor associated to the model.