Blogs about: Maximum Principle
Featured Blog
The generalized maximum principle
Let us start our notes with a very fundamental maximum principle for any strongly second order elliptic operator. We have Theorem (Maximum principle). Let satisfy the differential inequality in a doma… more →
Ngô Quốc Anh
The generalized maximum principle
wrote 2 months ago: Let us start our notes with a very fundamental maximum principle for any strongly second order ellip … more →
Monge-Ampere equation and bounday behavior of domain
wrote 6 months ago: Suppose is a bounded domain and is . If there exists a convex function satisfies Then is uniformly c … more →
Improvement of Aleksandrov maximum principle
wrote 8 months ago: For we have where . There is an easy proof when the RHS is . We will adjust the original proof. By r … more →
Strong barrier function and generalized linear elliptic equation
wrote 10 months ago: Suppose is a domain in . satisfies the exterior sphere condition. That is there exists a ball such t … more →
One simple maximum principle
wrote 10 months ago: If is elliptic with in a bounded domain , and satisfies in , then Let Then and on . By the maximum p … more →
Design, implementation, and experimental validation of optimal power split control for hybrid electric trucks
— 1 comment
wrote 1 year ago: Hybrid electric vehicles require an algorithm that controls the power split between the internal com … more →
A note on the maximum principle
wrote 1 year ago: Today, let us discuss a very interesting stuff. Let say is a compact manifold without boundary of di … more →
The Payne's Maximum Principles
wrote 2 years ago: This note, completely based on the elegant paper of L.E. Payne [here], deals primarily with maximum … more →
The Payne's Maximum Principles
— 3 comments
wrote 2 years ago: This note, completely based on the elegant paper of L.E. Payne [here], deals primarily with maximum … more →
An upper bound for solutions via the maximum principle
wrote 2 years ago: It is known that [here] the following PDE has no solution. However, this is no longer true if we rep … more →
An upper bound for solutions via the maximum principle
wrote 2 years ago: It is known that [here] the following PDE has no solution. However, this is no longer true if we rep … more →
The maximum principles
wrote 3 years ago: The maximum principle, in its various forms, is one of the most useful tools for working with ellipt … more →
The maximum principles
wrote 3 years ago: The maximum principle, in its various forms, is one of the most useful tools for working with ellipt … more →
Tricks Wiki: Give yourself an epsilon of room
— 16 comments
wrote 4 years ago: Today I’d like to discuss (in the Tricks Wiki format) a fundamental trick in “soft … more →
Monday Math 49
— 1 comment
wrote 4 years ago: The Laplacian operator ∇2 appears in a number of important partial differential equations. The … more →
Strong Maximum Principle Revisited
wrote 5 years ago: Suppose satisfies . If we knew that , then we would deduce from the strong maximum principle that th … more →
285G, Lecture 3: The maximum principle, and the pinching phenomenon
— 25 comments
wrote 5 years ago: We now begin the study of (smooth) solutions to the Ricci flow equation , (1) particularly for compa … more →
