List questions from partial-differential-equations

Published on 12 Apr 2026 - 11:18

143

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$W^{m,p}$ not embedding in $L^{\infty}$

Published on 25 Mar 2026 - 3:18

90

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Verification of $L^p$ a priori estimate for transport type equations

Published on 25 Mar 2026 - 7:45

129

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Satisfying first and second order PDEs given any two smooth functions

Published on 15 Apr 2026 - 12:57

261

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How to best obtain the Lyapunov exponent for spatiotemporal chaos

Published on 10 Apr 2026 - 23:43

78

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Is there any example of PDE whose projection of 2 distinct characteristics curve intersect?

Published on 12 Apr 2026 - 22:37

89

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Sobolev spaces $ H^{-1}(a,b), \ W^{1, \infty}_0(a,b) $ and $W^{-1,1}(a,b)$

Published on 17 Apr 2026 - 10:32

157

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Trace-inequality on triangle

Published on 25 Mar 2026 - 8:06

551

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solve a PDE within a circle domain

Published on 15 Apr 2026 - 6:20

384

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Solving the one-dimensional incompressible Navier-Stokes Equations

Published on 14 Apr 2026 - 23:21

65

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Lie group invariants: are they infinitely differentiable?

Published on 14 Apr 2026 - 19:52

59

Views

Estimating $ f(N) = \sum_{m\in \mathbb{Z}} H_{m-N}^{(1)}(x) J_m(y)$ when $N$ is large?

Published on 15 Apr 2026 - 12:54

59

Views

Greens function for the Heat Equation on the bounded half line with Neumann conditions

Published on 11 Apr 2026 - 4:43

93

Views

Solve $xu_x+yu_y+zu_z=4u$

Published on 15 Apr 2026 - 1:27

826

Views

Wave Equation with forcing term, vector transformation, method of characteristics

Published on 11 Apr 2026 - 13:55

List Question

How do I get the particular solution of the inhomogeneous equation $u_{x} + u_{y} = 3$?

$W^{m,p}$ not embedding in $L^{\infty}$

Verification of $L^p$ a priori estimate for transport type equations

Satisfying first and second order PDEs given any two smooth functions

How to best obtain the Lyapunov exponent for spatiotemporal chaos

Is there any example of PDE whose projection of 2 distinct characteristics curve intersect?

Sobolev spaces $ H^{-1}(a,b), \ W^{1, \infty}_0(a,b) $ and $W^{-1,1}(a,b)$

Trace-inequality on triangle

solve a PDE within a circle domain

Solving the one-dimensional incompressible Navier-Stokes Equations

Lie group invariants: are they infinitely differentiable?

Estimating $ f(N) = \sum_{m\in \mathbb{Z}} H_{m-N}^{(1)}(x) J_m(y)$ when $N$ is large?

Greens function for the Heat Equation on the bounded half line with Neumann conditions

Solve $xu_x+yu_y+zu_z=4u$

Wave Equation with forcing term, vector transformation, method of characteristics

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