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Regularity theory

Regularity is a topic of the mathematical study of partial differential equations (PDE) such as Laplace's equation, about the integrability and differentiability of weak solutions. Hilbert's nineteenth problem was concerned with this concept.

Art, Elliptic regularity theory & Parabolic and Hyperbolic regularity theory

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Elliptic regularity theory

OpenBoundedDifferential operatorElliptic operatorSobolev embedding theorem
5 related topics

Parabolic and Hyperbolic regularity theory

ParabolicHyperbolicSobolev spaceBochner space
4 related topics

Counterexamples

Conservation laws
1 related topics

Overview

Partial differential equationsLaplace's equationIntegrabilityDifferentiabilityWeak solutions
6 related topics

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Elliptic regularity theory

Parabolic and Hyperbolic regularity theory

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Regularity theory

Nodes21
Edges20
Triples0
Avg. degree1.9
Density0.095238
Components1

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Important terminology

displaystyle weak regularity partial solution pde elliptic boundary smooth study mathbb operator holds time differential solutions pdes parabolic hyperbolic open

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