Infinite-dimensional linear algebra and solvability of partial differential equations

DOI10.4115/jla.2021.13.5zbMath1465.35109arXiv2106.04039OpenAlexW3165859810WikidataQ115216743 ScholiaQ115216743MaRDI QIDQ4989724

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Publication date: 26 May 2021

Published in: Journal of Logic and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04039

zbMATH Keywords

solvabilitygeneralized solutionHamel basisSchwartz distributiondual operatorexistence of a solutionalgebraic basislinear partial differential equationlinear partial differential operatoralgebraic dual

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) General theory of partial differential operators (47F05) Second-order elliptic equations (35J15) General theory of PDEs and systems of PDEs with constant coefficients (35E20) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Nonstandard functional analysis (46S20) Strong solutions to PDEs (35D35)

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