List questions from partial-differential-equations

Published on 13 Apr 2026 - 16:53

62

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Does $C([0,T];H^{s+1}) \cap C^1([0,T];H^{s})=C^1([0,T];H^{s+1})$?

Published on 16 Apr 2026 - 22:01

138

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How find a solution to this PDE $\frac{xf'_{x}}{f'_{y}}+\frac{yf'_{y}}{f'_{x}}+x+y=C$

Published on 15 Apr 2026 - 10:36

1k

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How find this $\frac{yf_{y}-z}{f_{x}}+\frac{xf_{x}-z}{f_{y}}-xf_{x}-yf_{y}+x+y+z=C$ solution

Published on 14 Apr 2026 - 15:53

151

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Does $u_n \rightharpoonup u$ in $L^2(0,T;H^1)$ and $u_n' \rightharpoonup u'$ in $L^2(0,T;H^{-1})$ give something useful?

Published on 10 May 2026 - 16:35

58

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A useful criterion in dispersive PDE.

Published on 14 Apr 2026 - 1:12

170

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Sobolev Inequality with powers

Published on 10 May 2026 - 18:41

299

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mathematical biology (steady-states)

Published on 15 Apr 2026 - 12:00

1.4k

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Hadamard variational formula Evans chapter 6 problem 15

Published on 12 Apr 2026 - 16:14

169

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Approximation of continuous functions by a functions with vanishing second derivative

Published on 13 Apr 2026 - 6:18

202

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change of variable in mollifier

Published on 11 Apr 2026 - 9:47

6.5k

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Why are mathematician so interested to find theory for solving partial differential equations but not for integral equation?

Published on 14 Apr 2026 - 2:49

91

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Advanced Topic in Numerical solution of Differential Equations?

Published on 05 May 2026 - 17:48

1.7k

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Solve as a series the equation $u_t = u_{xx}, u_x {(0,t)}=0 , u{(1,t)} =1, u{(x,0)} = x^2$.

Published on 16 Apr 2026 - 22:57

34

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About an inequality equivalence in Optimal system

Published on 08 Apr 2026 - 10:49

List Question

integral of Poisson Kernel P(x,y) (on the boundary) for a bounded domain

Does $C([0,T];H^{s+1}) \cap C^1([0,T];H^{s})=C^1([0,T];H^{s+1})$?

How find a solution to this PDE $\frac{xf'_{x}}{f'_{y}}+\frac{yf'_{y}}{f'_{x}}+x+y=C$

How find this $\frac{yf_{y}-z}{f_{x}}+\frac{xf_{x}-z}{f_{y}}-xf_{x}-yf_{y}+x+y+z=C$ solution

Does $u_n \rightharpoonup u$ in $L^2(0,T;H^1)$ and $u_n' \rightharpoonup u'$ in $L^2(0,T;H^{-1})$ give something useful?

A useful criterion in dispersive PDE.

Sobolev Inequality with powers

mathematical biology (steady-states)

Hadamard variational formula Evans chapter 6 problem 15

Approximation of continuous functions by a functions with vanishing second derivative

change of variable in mollifier

Why are mathematician so interested to find theory for solving partial differential equations but not for integral equation?

Advanced Topic in Numerical solution of Differential Equations?

Solve as a series the equation $u_t = u_{xx}, u_x {(0,t)}=0 , u{(1,t)} =1, u{(x,0)} = x^2$.

About an inequality equivalence in Optimal system

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