The Newton Polyhedron, Spaces of Differentiable Functions and General Theory of Differential Equations

Haik Ghazaryan

This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

This work is licensed under Creative Commons Attribution–NonCommercial International License (CC BY-NC 4.0).

Abstract

In the paper we investigate the role of the Newton polyhedron R,ℜ, which generates a multianisotropic Sobolev space WRpWpℜ and Gevrey space GR,Gℜ, and the role of the Newton polyhedron R(P)ℜ(P) of a polynomial P(ξ)P(ξ) ( of a linear differential operator P(D)P(D)) in the behaviour of P(ξ)P(ξ) at infinity and in the smoothness of solutions of the equation P(D)u=f.

Author(s)

Table of Contents

The Newton Polyhedron, Spaces of Differentiable Functions and General Theory of Differential Equations

Abstract

Author(s)

Table of Contents

Related Articles

ON UNIQUENESS OF HOLOMORPHIC AND BOUNDED OUTSIDE THE CLOSED LOGARITHMIC SECTOR FUNCTIONS REPRESENTABLE BY LACUNARY POWER SERIES

COMPUTER DETECTING AND PROCESSING OF THE SIGNALS OF A FLAT-COIL ABSOLUTE-POSITION SENSOR BASED SEISMIC DETECTOR

The Newton Polyhedron, Spaces of Differentiable Functions and General Theory of Differential Equations

Abstract

Subscribe to TheGufo Newsletter​

Subscribe to TheGufo Newsletter