A new approach to solvability of some elliptic pde's with square integrable boundary data

TL;DR

This paper discusses a novel method for determining the solvability of certain elliptic partial differential equations with boundary data in L2 space, contributing to the mathematical understanding of these problems.

Contribution

It introduces a new approach to analyze the solvability of elliptic PDEs with square integrable boundary data, advancing existing theoretical frameworks.

Findings

Established conditions for solvability of elliptic PDEs with L2 boundary data

Developed new analytical techniques for elliptic systems

Extended previous results to broader classes of elliptic equations

Abstract

This paper has been withdrawn, and is replaced with paper "Solvability of elliptic systems with square integrable boundary data" by the same authors.