List questions from partial-differential-equations

Published on 14 Apr 2026 - 12:26

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PDE system and classical wave equation solution

Published on 10 Apr 2026 - 0:57

173

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Inverse Function for Banach Spaces

Published on 11 Apr 2026 - 16:10

18

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Equivalence of two formulations for an elliptic problem with Dirac source

Published on 11 Apr 2026 - 6:21

27

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Is there any generic method of showing existence on quasilinear pde?

Published on 13 Apr 2026 - 23:26

169

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A vector field satisfies both $\nabla\cdot v=0$ and $\Vert v \Vert = 1$

Published on 15 Apr 2026 - 19:48

836

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Laplace equation on the upper half plane with boundary conditions along x=0

Published on 16 Apr 2026 - 7:50

906

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Handling the domain's edge with central differences

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631

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Solving 1D wave equation in quarter plane

Published on 13 Apr 2026 - 1:46

66

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How to impose that $u(x,y)$ must be bounded in terms of its Fourier transform?

Published on 11 Apr 2026 - 14:03

167

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Existence of function $\phi(x,y)$ given that $(1+u_y^2)u_{xx} - 2u_xu_yu_{xy}+(1+u_x^2)u_{yy}$

Published on 15 Apr 2026 - 19:40

718

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About the exercises in Haims Brezis' book

Published on 12 Apr 2026 - 15:57

162

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Maximal Time of Existence for $u_t+uu_x+u=0$

Published on 14 Apr 2026 - 13:06

1.5k

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3 Variable Method of Characteristics

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256

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Non-linear Cauchy problem for $xu_x+uyu_y=-xy$

Published on 10 Apr 2026 - 23:37

List Question

General solution of $u_t + u_x = -u^2$

PDE system and classical wave equation solution

Inverse Function for Banach Spaces

Equivalence of two formulations for an elliptic problem with Dirac source

Is there any generic method of showing existence on quasilinear pde?

A vector field satisfies both $\nabla\cdot v=0$ and $\Vert v \Vert = 1$

Laplace equation on the upper half plane with boundary conditions along x=0

Handling the domain's edge with central differences

Solving 1D wave equation in quarter plane

How to impose that $u(x,y)$ must be bounded in terms of its Fourier transform?

Existence of function $\phi(x,y)$ given that $(1+u_y^2)u_{xx} - 2u_xu_yu_{xy}+(1+u_x^2)u_{yy}$

About the exercises in Haims Brezis' book

Maximal Time of Existence for $u_t+uu_x+u=0$

3 Variable Method of Characteristics

Non-linear Cauchy problem for $xu_x+uyu_y=-xy$

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