List questions from dispersive-pde

61

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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 21 Apr 2026 - 22:43

216

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How dispersive term in KdV PDE causes smoothing

Published on 23 Apr 2026 - 3:07

86

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Dispersion relation for system of nonlinear equations

Published on 25 Mar 2026 - 6:01

1k

Views

Infinite propagation speed for the Schrödinger equation

Published on 12 Apr 2026 - 3:14

80

Views

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

Published on 13 Apr 2026 - 23:19

136

Views

IBVP for the linear homogeneous 1-D Schrödinger equation

Published on 14 Apr 2026 - 4:22

129

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

Published on 25 Mar 2026 - 6:06

110

Views

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

Published on 12 Apr 2026 - 8:41

73

Views

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

Published on 25 Mar 2026 - 6:05

94

Views

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

Published on 25 Mar 2026 - 4:40

35

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Commutator estimate (PDE)

Published on 15 Apr 2026 - 17:20

44

Views

An inequality from Kato local smoothing effect

Published on 10 Apr 2026 - 17:54

90

Views

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

Published on 09 Apr 2026 - 15:20

67

Views

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

Published on 17 Apr 2026 - 4:38

1.1k

Views

2D wave equation: decay estimate

Published on 12 Apr 2026 - 13:07

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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