Question

Repeated Roots in Polynomial (Regular Perturbation)

score 92 · Answer 1 · 2021-12-05 01:41:59

92

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Repeated Roots in Polynomial (Regular Perturbation)

Published on 05 Dec 2021 - 1:41

score 62 · Answer 2 · 2021-12-11 17:31:20

62

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Decaying solution and periodic-$1$ solution to $y''(x)=y(x)-y(x)^2$

Published on 11 Dec 2021 - 17:31

score 20 · Answer 3 · 2021-12-11 23:39:48

20

Views

Converting an equation with "small displacements" retains a zeroth-order term -- can it become a PDE?

Published on 11 Dec 2021 - 23:39

score 39 · Answer 4 · 2022-01-05 06:58:27

39

Views

How to perturb nonzero elements to get nonzero elements

Published on 05 Jan 2022 - 6:58

score 21 · Answer 5 · 2022-01-12 05:06:49

21

Views

Large $t$ solution to $\partial_t S(x,v,t) = v \partial_x S + (a+v) \partial_v S + \partial_v^2 S$

Published on 12 Jan 2022 - 5:06

score 423 · Answer 6 · 2022-01-23 00:57:44

423

Views

Eigenvalue perturbation with complex-symmetric (non-Hermitian) matrices

Published on 23 Jan 2022 - 0:57

score 797 · Answer 7 · 2022-01-29 20:34:59

797

Views

Possible analytical solution to $g''(x)=\alpha\left[g(x)^3-g(x)\right]+\beta g(x) e^{-\kappa x}$

Published on 29 Jan 2022 - 20:34

score 231 · Answer 8 · 2022-02-10 14:34:53

231

Views

Understanding how to apply dominant balance method

Published on 10 Feb 2022 - 14:34

score 82 · Answer 9 · 2022-02-13 14:52:06

82

Views

Perturbation method when the differential equation depends on $\epsilon^2$ only

Published on 13 Feb 2022 - 14:52

score 74 · Answer 10 · 2022-02-28 02:49:20

74

Views

The linear heat eqaution with potential $V\in L_{t,x}^{\frac{n+2}2}$ is well-posed for initial data in $L^p$ for any $p\in(1,\infty)$

Published on 28 Feb 2022 - 2:49

score 31 · Answer 11 · 2026-03-25 22:23:34

31

Views

Approximate orthogonality between two sets of Hermite functions.

Published on 25 Mar 2026 - 22:23

score 31 · Answer 12 · 2022-04-07 17:52:27

31

Views

Degenerate perturbation theory: how to determine correction to eigenvector for this example?

Published on 07 Apr 2022 - 17:52

score 86 · Answer 13 · 2022-04-07 18:46:56

86

Views

A fluke or deep reason for this nice result: rigorously identify derivative from algebraic perturbation

Published on 07 Apr 2022 - 18:46

score 123 · Answer 14 · 2026-03-25 07:41:17

123

Views

Small parameter expansion of solution to ODE

Published on 25 Mar 2026 - 7:41

score 144 · Answer 15 · 2022-04-16 17:05:24

144

Views

Asymptotic expansion of $y = -A \tan x - \epsilon B \frac{1}{\cos(x)}$

Published on 16 Apr 2022 - 17:05

List Question

Repeated Roots in Polynomial (Regular Perturbation)

Decaying solution and periodic-$1$ solution to $y''(x)=y(x)-y(x)^2$

Converting an equation with "small displacements" retains a zeroth-order term -- can it become a PDE?

How to perturb nonzero elements to get nonzero elements

Large $t$ solution to $\partial_t S(x,v,t) = v \partial_x S + (a+v) \partial_v S + \partial_v^2 S$

Eigenvalue perturbation with complex-symmetric (non-Hermitian) matrices

Possible analytical solution to $g''(x)=\alpha\left[g(x)^3-g(x)\right]+\beta g(x) e^{-\kappa x}$

Understanding how to apply dominant balance method

Perturbation method when the differential equation depends on $\epsilon^2$ only

The linear heat eqaution with potential $V\in L_{t,x}^{\frac{n+2}2}$ is well-posed for initial data in $L^p$ for any $p\in(1,\infty)$

Approximate orthogonality between two sets of Hermite functions.

Degenerate perturbation theory: how to determine correction to eigenvector for this example?

A fluke or deep reason for this nice result: rigorously identify derivative from algebraic perturbation

Small parameter expansion of solution to ODE

Asymptotic expansion of $y = -A \tan x - \epsilon B \frac{1}{\cos(x)}$

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