List questions from dispersive-pde

60

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How can I find $\frac{\partial y}{\partial t}$ if I know that $\frac{\partial y}{\partial t}-D\frac{\partial^2y}{\partial x}=0$ (D is a constant)

Published on 22 Nov 2019 - 1:17

210

Views

How dispersive term in KdV PDE causes smoothing

Published on 22 Mar 2026 - 13:05

85

Views

Dispersion relation for system of nonlinear equations

Published on 15 Jul 2020 - 20:16

1k

Views

Infinite propagation speed for the Schrödinger equation

Published on 18 Jul 2016 - 18:02

77

Views

$u$ satisfies Schrodinger equation implies $\mathcal{F}^{-1} \left(\chi_{2}(\xi) \hat{u} \right) $ also?

Published on 02 Jan 2017 - 9:05

133

Views

IBVP for the linear homogeneous 1-D Schrödinger equation

Published on 13 Feb 2023 - 16:26

128

Views

Find the energy of a PDE, and show it is conserved

Published on 30 Apr 2023 - 9:03

107

Views

Existence and Uniqueness of Solution to PDE using Banach Fixed Point Theorem

Published on 11 Jun 2023 - 17:48

72

Views

Physical meaning of a heat equation with a term $\alpha u$

Published on 04 Aug 2023 - 3:22

93

Views

A reference for solution of non homogeneous heat equation on bounded domain

Published on 05 Aug 2023 - 4:16

31

Views

Commutator estimate (PDE)

Published on 26 Aug 2023 - 13:07

41

Views

An inequality from Kato local smoothing effect

Published on 20 Oct 2023 - 13:45

87

Views

Estimates of kernel function of Schrodinger Operator concerning Littlewood Paley projection operator

Published on 25 Oct 2023 - 3:15

63

Views

Regularizing effects present in the group $\{e^{it\Delta}\}$.

Published on 10 Jan 2024 - 17:28

1.1k

Views

2D wave equation: decay estimate

Published on 28 May 2015 - 15:52

List Question

How can I find $\frac{\partial y}{\partial t}$ if I know that $\frac{\partial y}{\partial t}-D\frac{\partial^2y}{\partial x}=0$ (D is a constant)

How dispersive term in KdV PDE causes smoothing

Dispersion relation for system of nonlinear equations

Infinite propagation speed for the Schrödinger equation

$u$ satisfies Schrodinger equation implies $\mathcal{F}^{-1} \left(\chi_{2}(\xi) \hat{u} \right) $ also?

IBVP for the linear homogeneous 1-D Schrödinger equation

Find the energy of a PDE, and show it is conserved

Existence and Uniqueness of Solution to PDE using Banach Fixed Point Theorem

Physical meaning of a heat equation with a term $\alpha u$

A reference for solution of non homogeneous heat equation on bounded domain

Commutator estimate (PDE)

An inequality from Kato local smoothing effect

Estimates of kernel function of Schrodinger Operator concerning Littlewood Paley projection operator

Regularizing effects present in the group $\{e^{it\Delta}\}$.

2D wave equation: decay estimate

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