Question

If $v\in H^1(]0,1[)$, then $|v(\lambda)| \leq ||v||_{L^1(]0,1[)} + ||v'||_{L^2(]0,1[)}$

score 42 · Answer 1 · 2026-04-15 01:22:26

42

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If $v\in H^1(]0,1[)$, then $|v(\lambda)| \leq ||v||_{L^1(]0,1[)} + ||v'||_{L^2(]0,1[)}$

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181

Views

At $x_0 \in \partial \Omega$, $\text{Hess}u(x_0) = \Delta u(x_0) (\nu \otimes \nu)$, $\nu$ outer unit normal

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score 59 · Answer 12 · 2026-04-11 11:32:15

59

Views

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114

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List Question

If $v\in H^1(]0,1[)$, then $|v(\lambda)| \leq ||v||_{L^1(]0,1[)} + ||v'||_{L^2(]0,1[)}$

How to restrict only top range of ellipse function, and what is its domain?

Definition of upper $\epsilon$-envelope of a function

A question on the first derivative $\dfrac{\partial u}{\partial n} =0$ on $\partial\Omega$?

Existence of Solutions to Elliptic Equations on Compact Manifolds -- Global Obstructions?

Finding Green's functions in $\mathbb{R}^3$

Finding the maximum and minimum values of the Poisson Equation

Does there exist any solution for this inequality?

absence of CFL like condition in numerical schemes of elliptic pde

How does this inequality follow?

At $x_0 \in \partial \Omega$, $\text{Hess}u(x_0) = \Delta u(x_0) (\nu \otimes \nu)$, $\nu$ outer unit normal

How does the integral constraint for a PDE over a volume equaling zero ensure uniqueness?

1D Poisson equation with Neumann homogeneous boundary conditions. Finite Elements solution satisfies Neumann boundary conditions?

Intuition for regularity of solution of this hypoelliptic PDE

Non-trivial solution to certain elliptic PDE implies exponential growth.

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