Linked from

The 13 pages that link to Weak solution, each with the reason it gives.

• Banach spaceRelated: Weak solutions often lie in Banach function spaces suited to compactness and convergence arguments.

• Sobolev spaceRelated: Weak solutions often belong to Sobolev spaces even when classical solutions do not exist.

• Finite volume methodRelated: Integral balances remain meaningful for shocks where classical derivatives fail.

• Weak convergenceRelated: The same testing framework lets equations hold without classical derivatives.

• Distribution (mathematics)Related: Distributional derivatives make weak formulations meaningful for nonsmooth solutions.

• Linear functionalRelated: Test functions define functionals that express differential equations without classical derivatives.

• Distribution theoryRelated: Distributional derivatives let equations hold for solutions lacking classical smoothness.

• Elliptic regularityRelated: Regularity theory often starts with weak solutions that lack classical derivatives.

• Grönwall's inequalityRelated: Energy estimates combined with Grönwall's inequality can control weak solutions over time.

• Lions–Lax–Milgram theoremRelated: The variational equation often defines the weak solution whose existence the theorem guarantees.

• Weyl's lemmaRelated: Weyl's lemma upgrades this weak form of the Laplace equation to a classical one.