Question

Proving an energy estimate of $2 \delta \|u\|_{L^2(\Omega)}\|u_t\|_{L^2(\Omega)}+\|b\|_{L^2(\Omega)} \|u_t\|_{L^2(\Omega)}$

score 28 · Answer 1 · 2026-03-25 18:49:33

28

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Proving an energy estimate of $2 \delta \|u\|_{L^2(\Omega)}\|u_t\|_{L^2(\Omega)}+\|b\|_{L^2(\Omega)} \|u_t\|_{L^2(\Omega)}$

Published on 25 Mar 2026 - 18:49

score 827 · Answer 2 · 2026-03-26 01:34:26

827

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Separable Hilbert space definition doubt

Published on 26 Mar 2026 - 1:34

score 247 · Answer 3 · 2026-03-29 13:27:45

247

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The vector $\mid \phi \rangle \langle \phi \mid \psi \rangle$ is the projection of a vector $\mid \psi \rangle$ along the vector $\mid \phi \rangle$?

Published on 29 Mar 2026 - 13:27

score 87 · Answer 4 · 2026-03-27 15:18:13

87

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Measurable (or continuous) orthonormal basis in a Hilbert space

Published on 27 Mar 2026 - 15:18

score 116 · Answer 5 · 2026-04-02 02:57:59

116

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$H_1$ and $H_2$ are pre-Hilbert Hausdorff space if and only if $H_1 \times H_2$ is pre-Hilbert Hausdorff space

Published on 02 Apr 2026 - 2:57

score 235 · Answer 6 · 2026-02-23 10:01:00

235

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On Cameron-Martin space definition.

Published on 23 Feb 2026 - 10:01

score 362 · Answer 7 · 2026-04-06 18:58:48

362

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Orthonormal basis in $L^2(\mathbb R)$

Published on 06 Apr 2026 - 18:58

score 222 · Answer 8 · 2026-03-29 13:27:49

222

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Quantum-mechanical Schwarz inequality: Proving $\langle \psi \mid \phi \rangle^* \langle \psi \mid \phi \rangle \ge 0$ for 1D case.

Published on 29 Mar 2026 - 13:27

score 67 · Answer 9 · 2026-04-03 08:03:43

67

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Coherent Information of Entanglement Breaking channels

Published on 03 Apr 2026 - 8:03

score 24 · Answer 10 · 2020-07-03 05:06:17

24

Views

Could the kernel be of odd dimension

Published on 03 Jul 2020 - 5:06

score 85 · Answer 11 · 2020-07-03 14:34:45

85

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How Bessel's inequality ensures the convergence of a sequence in this proof

Published on 03 Jul 2020 - 14:34

score 101 · Answer 12 · 2026-04-08 01:24:29

101

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A question of convergence in Hilbert spaces

Published on 08 Apr 2026 - 1:24

score 401 · Answer 13 · 2026-04-07 18:51:20

401

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One Function Expanding into Another Function?

Published on 07 Apr 2026 - 18:51

score 83 · Answer 14 · 2020-07-04 14:30:28

83

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How to derive $\frac1\pi \int_{-\pi}^{\pi}f(t)\sin nt \;\mathrm{d}t$ from $\frac{\langle\sin nx|f\rangle}{\langle \sin nx|\sin nx\rangle}$?

Published on 04 Jul 2020 - 14:30

score 85 · Answer 15 · 2020-07-04 17:52:31

85

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Deriving $\psi_1(x)=\frac{3\sqrt\pi}{2}\phi_0(x) + \frac{7\sqrt\pi}{4\sqrt2} \phi_1(x) - \frac{\sqrt\pi}{2\sqrt2} \phi_2(x)...$

Published on 04 Jul 2020 - 17:52

List Question

Proving an energy estimate of $2 \delta \|u\|_{L^2(\Omega)}\|u_t\|_{L^2(\Omega)}+\|b\|_{L^2(\Omega)} \|u_t\|_{L^2(\Omega)}$

Separable Hilbert space definition doubt

The vector $\mid \phi \rangle \langle \phi \mid \psi \rangle$ is the projection of a vector $\mid \psi \rangle$ along the vector $\mid \phi \rangle$?

Measurable (or continuous) orthonormal basis in a Hilbert space

$H_1$ and $H_2$ are pre-Hilbert Hausdorff space if and only if $H_1 \times H_2$ is pre-Hilbert Hausdorff space

On Cameron-Martin space definition.

Orthonormal basis in $L^2(\mathbb R)$

Quantum-mechanical Schwarz inequality: Proving $\langle \psi \mid \phi \rangle^* \langle \psi \mid \phi \rangle \ge 0$ for 1D case.

Coherent Information of Entanglement Breaking channels

Could the kernel be of odd dimension

How Bessel's inequality ensures the convergence of a sequence in this proof

A question of convergence in Hilbert spaces

One Function Expanding into Another Function?

How to derive $\frac1\pi \int_{-\pi}^{\pi}f(t)\sin nt \;\mathrm{d}t$ from $\frac{\langle\sin nx|f\rangle}{\langle \sin nx|\sin nx\rangle}$?

Deriving $\psi_1(x)=\frac{3\sqrt\pi}{2}\phi_0(x) + \frac{7\sqrt\pi}{4\sqrt2} \phi_1(x) - \frac{\sqrt\pi}{2\sqrt2} \phi_2(x)...$

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