Partial differential operators depending analytically on a parameter

DOI10.5802/aif.1266zbMath0729.35011OpenAlexW2041001895MaRDI QIDQ805870

Frank Mantlik

Publication date: 1991

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1991__41_3_577_0

zbMATH Keywords

constant coefficientselementary solutionslinear differential operatoranalytic dependenceconstant strengthregular fundamental solution

Mathematics Subject Classification ID

Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Fundamental solutions to PDEs and systems of PDEs with constant coefficients (35E05)

Related Items (11)

Parameter dependence of solutions of the Cauchy-Riemann equation on weighted spaces of smooth functions ⋮ Linear topological invariants for kernels of convolution and differential operators ⋮ A family of fundamental solutions of elliptic partial differential operators with real constant coefficients ⋮ Splitting and parameter dependence in the category of \(\mathrm{PLH}\) spaces ⋮ The splitting of exact sequences of PLS-spaces and smooth dependence of solutions of linear partial differential equations ⋮ Meromorphic generalized inverses of operator functions ⋮ Real analytic parameter dependence of solutions of differential equations ⋮ Vector valued hyperfunctions and boundary values of vector valued harmonic and holomorphic functions ⋮ Real analytic curves in Fréchet spaces and their duals ⋮ Parameter dependence of solutions of differential equations on spaces of distributions and the splitting of short exact sequences ⋮ Parameter dependence of solutions of partial differential equations in spaces of real analytic functions

Cites Work

• Unnamed Item
• Unnamed Item
• On Levi's problem and the imbedding of real-analytic manifolds
• Fundamental Solutions for Hypoelliptic Differential Operators Depending Analytically on a Parameter
• BANACH Coherent Analytic FRÉCHET Sheaves
• Un théorème sur les équations aux dérivées partielles à coefficients constants dépendant de paramètres
• Fundamental Solutions of Linear Partial Differential Equations with Constant Coefficients Depending on Parameters

This page was built for publication: Partial differential operators depending analytically on a parameter