Wikipedia:WikiProject Mathematics/PlanetMath Exchange/35-XX Partial differential equations
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This page provides a list of all articles available at PlanetMath in the following topic:
- 35-XX Partial differential equations.
This list will be periodically updated. Each entry in the list has three fields:
- PM : The first field is the link to the PlanetMath article, along with the article's object ID.
- WP : The second field is either a "guessed" link to a correspondingly named Wikipedia article, produced by the script which generated the list, or one or more manually entered links to the corresponding Wikipedia articles on the subject.
- Status : The third field is the status field, which explains the current status of the entry. The recommended status entries are:
Status | means PM article |
N | not needed |
A | adequately covered |
C | copied |
M | merged |
NC | needs copying |
NM | needs merging |
- Please update the WP and Status fields as appropriate.
- if the WP field is correct please remove the qualifier "guess".
- If the corresponding Wikipedia article exists, but the link to it is wrong, please fix the link.
- If you copy or merge an article from PlanetMath, please update the WP and Status fields for that entry.
- If you have any comments, for example, thoughts on how the PlanetMath article compares to the corresponding Wikipedia article(s), please place such comments on a new indented line following the entry. Comments of this kind are very valuable.
Don't forget to include the relevant template if you copy over text or feel like an external link is warranted
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[edit] 35-00 General reference works (handbooks, dictionaries, bibliographies, etc.)
- PM: differential operator, id=1984 -- WP: differential operator -- Status: A
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- linas 01:40, 8 June 2006 (UTC)
[edit] 35A10 Cauchy-Kovalevskaya theorems
- PM: Cauchy-Kowalewski Theorem, id=6196 -- WP: Cauchy-Kowalewski Theorem -- Status: NC
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- As of now, WP has just a stub. But that one is quite recent (1 month), and might grow later. Oleg Alexandrov | talk 17:57, 2 February 2005 (UTC)
- PM: example of eliminating higher-order derivatives, id=6198 -- WP guess: example of eliminating higher-order derivatives -- Status: N
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- linas 01:41, 8 June 2006 (UTC)
- PM: Holmgren uniqueness theorem, id=6203 -- WP: Holmgren uniqueness theorem -- Status: NC
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- linas 01:41, 8 June 2006 (UTC)
[edit] 35Axx General theory
[edit] 35B32 Bifurcation
[edit] 35Bxx Qualitative properties of solutions
[edit] 35C15 Integral representations of solutions of PDE
- PM: Green's function, id=6355 -- WP: Green's function -- Status: A
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- linas 01:38, 8 June 2006 (UTC)
[edit] 35Cxx Representations of solutions
[edit] 35E15 Initial value problems
[edit] 35Exx Equations and systems with constant coefficients
[edit] 35F20 General theory of nonlinear first-order PDE
[edit] 35Fxx General first-order equations and systems
[edit] 35H10 Hypoelliptic equations
[edit] 35H30 Quasi-elliptic equations
- PM: hypoelliptic, id=8059 -- WP: hypoelliptic -- Status: C
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- Oleg Alexandrov (talk) 04:56, 3 February 2007 (UTC)
- PM: differential equations of Jacobi \vartheta functions, id=6296 -- WP: theta function -- Status: NM
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- linas 01:36, 8 June 2006 (UTC)
- PM: quasiperiod and half quasiperiod relations for Jacobi \vartheta functions, id=6276 -- WP: theta function -- Status: NM
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- linas 01:36, 8 June 2006 (UTC)
[edit] 35Hxx Close-to-elliptic equations
[edit] 35J05 Laplace equation, reduced wave equation (Helmholtz), Poisson equation
- PM: Poisson's equation, id=4291 -- WP: Poisson's equation -- Status: NM
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- linas 01:35, 8 June 2006 (UTC)
- PM: Laplace equation in cylindrical coordinates, id=8555new! -- WP guess: Laplace equation in cylindrical coordinates -- Status:
[edit] 35Jxx Partial differential equations of elliptic type
[edit] 35K15 Initial value problems for second-order, parabolic equations
- PM: Feynman-Kac formula, id=9609new! -- WP guess: Feynman-Kac formula -- Status:
- PM: solving the Black-Scholes PDE by finite differences, id=8694new! -- WP guess: solving the Black-Scholes PDE by finite differences -- Status:
[edit] 35Kxx Parabolic equations and systems
[edit] 35L05 Wave equation
- PM: wave equation, id=3614 -- WP: wave equation -- Status: A
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- linas 01:33, 8 June 2006 (UTC)
- PM: solving the wave equation due to D. Bernoulli, id=8708new! -- WP guess: solving the wave equation due to D. Bernoulli -- Status:
- PM: vibrating string with variable density, id=9826new! -- WP guess: vibrating string with variable density -- Status:
[edit] 35Lxx Partial differential equations of hyperbolic type
[edit] 35Q40 Equations from quantum mechanics
- PM: Schrödinger's wave equation, id=6756 -- WP: Schrödinger's wave equation -- Status: A
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- linas 01:30, 8 June 2006 (UTC)
[edit] 35Q53 KdV-like equations (Korteweg-de Vries, Burgers, sine-Gordon, sinh-Gordon, etc.)
- PM: Korteweg - de Vries equation, id=4406 -- WP: Korteweg - de Vries equation -- Status: A
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- linas 01:32, 8 June 2006 (UTC)
[edit] 35Q99 Miscellaneous
- PM: heat equation, id=3067 -- WP: heat equation -- Status: A
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- linas 01:33, 8 June 2006 (UTC)
- PM: example of solving the heat equation, id=7647new! -- WP guess: example of solving the heat equation -- Status:
- PM: time-dependent example of heat equation, id=8729new! -- WP guess: time-dependent example of heat equation -- Status: