A Very Elementary Proof of the Malgrange-Ehrenpreis Theorem

DOI10.2307/2324871zbMath0768.35010OpenAlexW2077434171MaRDI QIDQ3983384

Jean-Pierre Rosay

Publication date: 27 June 1992

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2324871

zbMATH Keywords

constant coefficient partial differential operators

Mathematics Subject Classification ID

Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

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On a Right Inverse of a Polynomial of the Laplace in the Weighted Hilbert Space $L^2 (\mathbb{R}^n ,e^{−|x|^2} )$ ⋮ Convolution operators with a fundamental solution of finite order ⋮ Controllability aspects of the Korteweg-de Vries Burgers equation on unbounded domains ⋮ Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields ⋮ Asymptotic behavior of the Korteweg-de Vries equation posed in a quarter plane ⋮ The Colombeau generalized nonlinear analysis and the Schwartz linear distribution theory ⋮ Invertibility for a class of Fourier multipliers

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