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The Fourier transform is unbounded from $L^{p}$ to $L^{p^{\prime}}$ when $2<p\leq \infty$?

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#real-analysis #analysis #fourier-analysis #harmonic-analysis #dispersive-pde
78
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An asymptotic for a simple oscillatory integral

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#fourier-analysis #harmonic-analysis #wave-equation #oscillatory-integral #dispersive-pde
202
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Physical interpretation of a singular pde

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#partial-differential-equations #regularity-theory-of-pdes #parabolic-pde #dispersive-pde
292
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What does it really mean for a wave equation to be critical?

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#functional-analysis #partial-differential-equations #wave-equation #regularity-theory-of-pdes #dispersive-pde
188
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Dual local smoothing and retarded local smoothing for Schrodinger equation

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#partial-differential-equations #dispersive-pde
222
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An Sobolev-type inequality on $1D$ torus related to algebra properties for Sobolev spaces

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#real-analysis #inequality #partial-differential-equations #fourier-series #dispersive-pde
910
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On the Schrodinger fundamental solution

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#functional-analysis #partial-differential-equations #fundamental-solution #dispersive-pde
104
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Question about schrodinger free equation

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#functional-analysis #partial-differential-equations #fourier-analysis #dispersive-pde
94
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Regularity of Solution for the Kdv equation

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#partial-differential-equations #regularity-theory-of-pdes #nonlinear-analysis #linear-pde #dispersive-pde
501
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Interpretation of dispersion relation

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#analysis #partial-differential-equations #dispersive-pde
144
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Doubt on momentum conservation in nonlinear schrodinger

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#functional-analysis #partial-differential-equations #nonlinear-analysis #dispersive-pde
192
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Deriving conservation laws from stress-energy tensor

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#partial-differential-equations #complex-numbers #dispersive-pde
339
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Re-writing a PDE in Hamiltonian form

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#partial-differential-equations #dispersive-pde
199
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Justification for Uniqueness of Solutions to Dispersive PDE

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#ordinary-differential-equations #analysis #partial-differential-equations #dispersive-pde
27
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Given the 1- D diffusion equation $\frac{\partial y}{\partial t}-D\frac{\partial^2y}{\partial x}=0$

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#ordinary-differential-equations #partial-differential-equations #mathematical-modeling #dispersive-pde

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