Lax-Milgram Theorem

Let be a bounded Coercive bilinear Functional on a Hilbert Space . Then for every bounded linear Functional on , there exists a unique such that

References

Debnath, L. and Mikusinski, P. Introduction to Hilbert Spaces with Applications. San Diego, CA: Academic Press, 1990.

Zeidler, E. Applied Functional Analysis: Applications to Mathematical Physics. New York: Springer-Verlag, 1995.

• Riemann-Christoffel Tensor
• Riemann Curve Theorem
• Riemann Differential Equation
• Riemann Function
• Riemann Hypothesis
• Riemannian Geometry
• Riemannian Geometry (Non-Euclidean)
• Riemannian Manifold
• Riemannian Metric
• Riemann Integral
• Riemann-Lebesgue Lemma
• Riemann-Mangoldt Function
• Riemann Mapping Theorem
• Riemann P-Differential Equation
• Riemann P-Series
• Riemann-Roch Theorem
• Riemann Series Theorem
• Riemann's Formula
• Riemann-Siegel Functions
• Riemann's Integral Theorem
• Riemann's Moduli Problem
• Riemann's Moduli Space
• Riemann Space
• Riemann Sphere
• Riemann-Stieltjes Integral