Question

Cauchy-Riemann equations, $f(z) = \bar{z} \sin z$

score 1k · Answer 1 · 2026-04-29 16:10:37

1k

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Cauchy-Riemann equations, $f(z) = \bar{z} \sin z$

Published on 29 Apr 2026 - 16:10

score 308 · Answer 2 · 2026-04-29 22:26:04

308

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Unique solution of Cauchy problem in a neighbourhood of given set

Published on 29 Apr 2026 - 22:26

score 67 · Answer 3 · 2026-04-29 23:20:15

67

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Explaining results involving differential equations using the theorem for the existence and uniqueness of the solutions of a Cauchy Problem

Published on 29 Apr 2026 - 23:20

score 115 · Answer 4 · 2026-04-29 18:01:12

115

Views

Doubt about Cauchy-Lipshitz theorem use

Published on 29 Apr 2026 - 18:01

score 481 · Answer 5 · 2026-04-29 18:37:17

Solve the Cauchy problem by the method of characteristic $pz+q=1$ with initial data $y=x,z=x/2$ . Indicate the region where the solution is valid.

score 84 · Answer 6 · 2026-04-30 02:08:53

84

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A relation between Dirichlet problem and Brownian motion

Published on 30 Apr 2026 - 2:08

score 116 · Answer 7 · 2026-04-29 08:44:44

116

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Problem with the differential equation $2u_{xx}-3u_{xy}+u_{yy}+u_x-u_y=1$

Published on 29 Apr 2026 - 8:44

score 238 · Answer 8 · 2026-04-30 03:29:11

238

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How to prove Picard's existence and uniqueness theorem by Tonelli sequence instead of Picard sequence? For O.D.E./ODE.

Published on 30 Apr 2026 - 3:29

score 60 · Answer 9 · 2026-04-30 02:34:07

60

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Exercise1.1 of Tao's book <Nonlinear Dispersive equation> which is about Cauchy Kowalevski Theorem

Published on 30 Apr 2026 - 2:34

score 16 · Answer 10 · 2026-04-30 02:39:44

16

Views

Understanding the meaningful of the vanishing data on the boundary of a half space. (Hormander)

Published on 30 Apr 2026 - 2:39

score 38 · Answer 11 · 2026-04-29 11:45:14

38

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Does this Cauchy problem $x'=tx^{2/3}$, $x(0)=0$ have unique solution?

Published on 29 Apr 2026 - 11:45

score 26 · Answer 12 · 2026-04-30 00:15:52

26

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When can we prescribe the speed of a normal flow from a hypersurface?

Published on 30 Apr 2026 - 0:15

score 40 · Answer 13 · 2026-04-29 23:00:12

40

Views

Cauchy problem for parabolic equation

Published on 29 Apr 2026 - 23:00

score 152 · Answer 14 · 2026-04-29 19:53:41

152

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On number of solutions of ODE $y’=-y^a, y(0)=0$.

Published on 29 Apr 2026 - 19:53

score 44 · Answer 15 · 2026-04-28 12:36:44

44

Views

About differentiable dependence in a Cauchy problem

Published on 28 Apr 2026 - 12:36

List Question

Cauchy-Riemann equations, $f(z) = \bar{z} \sin z$

Unique solution of Cauchy problem in a neighbourhood of given set

Explaining results involving differential equations using the theorem for the existence and uniqueness of the solutions of a Cauchy Problem

Doubt about Cauchy-Lipshitz theorem use

Solve the Cauchy problem by the method of characteristic $pz+q=1$ with initial data $y=x,z=x/2$ . Indicate the region where the solution is valid.

A relation between Dirichlet problem and Brownian motion

Problem with the differential equation $2u_{xx}-3u_{xy}+u_{yy}+u_x-u_y=1$

How to prove Picard's existence and uniqueness theorem by Tonelli sequence instead of Picard sequence? For O.D.E./ODE.

Exercise1.1 of Tao's book <Nonlinear Dispersive equation> which is about Cauchy Kowalevski Theorem

Understanding the meaningful of the vanishing data on the boundary of a half space. (Hormander)

Does this Cauchy problem $x'=tx^{2/3}$, $x(0)=0$ have unique solution?

When can we prescribe the speed of a normal flow from a hypersurface?

Cauchy problem for parabolic equation

On number of solutions of ODE $y’=-y^a, y(0)=0$.

About differentiable dependence in a Cauchy problem

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