📜 Theorem, law or theory

Lions–Lax–Milgram theorem

Teorema de Lions-Lax-Milgram

Date
c. 1960 · confidence low
Place
Paris, France
Credited to
Peter Lax, Arthur Milgram y Jacques-Louis Lions
Field
Knowledge & symbols

What was discovered

Generalization of the Lax–Milgram theorem giving conditions for the existence and uniqueness of weak solutions to boundary value problems defined by time-dependent operators.

What it led to

  • Standard tool of functional analysis applied to PDEs
  • Theoretical basis of the finite element method
  • Modern theory of evolution equations
  • Variational formulations in engineering

Links

Sources✓ verified 2026-09-28