Fundamental Solutions for Hypoelliptic Differential Operators Depending Analytically on a Parameter

DOI10.2307/2153981zbMath0785.35008OpenAlexW4249131479MaRDI QIDQ4032450

Frank Mantlik

Publication date: 1 April 1993

Full work available at URL: https://doi.org/10.2307/2153981

zbMATH Keywords

constant coefficientshypoelliptic operatorsregular fundamental solutionanalytic parameter-dependence

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) 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 (9)

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 ⋮ 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 ⋮ Partial differential operators depending analytically on a parameter ⋮ 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

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• On Levi's problem and the imbedding of real-analytic manifolds
• On the division of distributions by polynomials
• Opérateurs différentiels hypoelliptiques
• BANACH Coherent Analytic FRÉCHET Sheaves
• Un théorème sur les équations aux dérivées partielles à coefficients constants dépendant de paramètres
• Sur le problème de la division
• Fundamental Solutions of Linear Partial Differential Equations with Constant Coefficients Depending on Parameters

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