On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space $L^2 (\mathbb{R}^n ,e^{−|x|^2} )$
From MaRDI portal
Publication:5882451
DOI10.4208/ATA.OA-2021-0027MaRDI QIDQ5882451
Shaoyu Dai, Yifei Pan, Yang Liu
Publication date: 16 March 2023
Published in: Analysis in Theory and Applications (Search for Journal in Brave)
Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Other special methods applied to PDEs (35A25)
Cites Work
- A right inverse of differential operator \(\frac{d^k}{dx^k} + a\) in weighted Hilbert space \(L^2(\mathbb{R}, e^{- x^2})\)
- Characterization of the linear partial differential operators with constant coefficients that admit a continuous linear right inverse
- A right inverse of Cauchy-Riemann operator \(\bar{\partial}^k+a\) in the weighted Hilbert space \(L^2(\mathbb{C},e^{-|z|^2})\)
- \(L^ 2\) estimates and existence theorems for the \(\partial\)-operator
- A Very Elementary Proof of the Malgrange-Ehrenpreis Theorem
- On the Poincaré-Lelong equation in ℂn
This page was built for publication: On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space $L^2 (\mathbb{R}^n ,e^{−|x|^2} )$
