ABSTRACT
A crucial step in attempting to solve the ∂ ¯ https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429187681/bff96af3-57ee-4f14-ad65-a53036966c4e/content/inequ53_1.tif"/> -problem, ∂ ¯ u = w https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780429187681/bff96af3-57ee-4f14-ad65-a53036966c4e/content/inequ53_2.tif"/> on Fréchet nuclear spaces is to get L 2 estimates for cylindrical solutions. Success depends on estimates which give exponential growth of the form w.
