List questions from partial-differential-equations

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Uniqueness of higher order weak derivative

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Solve pde problem

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Compatibility condition on $f$ in initial boundary value problem

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Using the Laplace transform, solve the initial boundary value problem $\frac{\partial u}{\partial t} + x\frac{\partial u}{\partial x} = x$

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Published on 13 Mar 2018 - 22:31

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For the heat equation, why does the strong maximum principle imply infinite propagation speed of disturbances for bounded domains?

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$\frac{dx}{u}=\frac{dt}{1}=\frac{du}{0}\iff\frac{u}{dx}=\frac{1}{dt}=\frac{0}{du}$?

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Essential vs natural boundary conditions

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Cauchy problem using Duhamel's Principle

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A symmetric partial differential equation

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Numerical stability of advection equation?

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Is the number of boundary conditions sufficient for a unique solution?

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Determine Solution Regularity of $-\Delta u + u =f$

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Mathematical derivation of the Blasius "hypothesis"

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List Question

Weak convergence of a power nonlinearity

Uniqueness of higher order weak derivative

Solve pde problem

Compatibility condition on $f$ in initial boundary value problem

Using the Laplace transform, solve the initial boundary value problem $\frac{\partial u}{\partial t} + x\frac{\partial u}{\partial x} = x$

Cauchy Problem (PDE)

For the heat equation, why does the strong maximum principle imply infinite propagation speed of disturbances for bounded domains?

$\frac{dx}{u}=\frac{dt}{1}=\frac{du}{0}\iff\frac{u}{dx}=\frac{1}{dt}=\frac{0}{du}$?

Essential vs natural boundary conditions

Cauchy problem using Duhamel's Principle

A symmetric partial differential equation

Numerical stability of advection equation?

Is the number of boundary conditions sufficient for a unique solution?

Determine Solution Regularity of $-\Delta u + u =f$

Mathematical derivation of the Blasius "hypothesis"

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