Zobrazeno 1 - 10
of 39
pro vyhledávání: '"Christer Bennewitz"'
Autor:
Christer Bennewitz, Yoshimi Saito
Publikováno v:
Electronic Journal of Differential Equations, Vol 2002, Iss 86, Pp 1-6 (2002)
We shall calculate the operator norm $|T|_p$ of the Hardy operator $Tf = int_0^x f $, where $1le ple infty$. This operator is related to the Sobolev embedding operator from $W^{1,p}(0,1)/mathbb{C}$ into $W^p(0,1)/mathbb{C}$. For $1
Externí odkaz:
https://doaj.org/article/0afc30905a70427ca4d3ad8ca6b412f7
Publikováno v:
Universitext ISBN: 9783030590871
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::d1c648ddc8cef81e92b9aa06bf7a9808
https://doi.org/10.1007/978-3-030-59088-8_1
https://doi.org/10.1007/978-3-030-59088-8_1
Publikováno v:
Universitext ISBN: 9783030590871
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ebcf63f25f0a177cda3094b59659ff56
https://doi.org/10.1007/978-3-030-59088-8_8
https://doi.org/10.1007/978-3-030-59088-8_8
Publikováno v:
Universitext ISBN: 9783030590871
For this to be possible one needs some positivity in the problem, usually that some linear combination of the Hermitian forms is positive.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2385b3619093e7e9ec2d00fd83e13fb4
https://doi.org/10.1007/978-3-030-59088-8_5
https://doi.org/10.1007/978-3-030-59088-8_5
Publikováno v:
Universitext ISBN: 9783030590871
Universitext
Universitext
This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations. Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Ex
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::8d2e83d2b34718fe903067dd2ef19f7c
https://doi.org/10.1007/978-3-030-59088-8
https://doi.org/10.1007/978-3-030-59088-8
Publikováno v:
Universitext ISBN: 9783030590871
Problems in Sturm–Liouville spectral theory fall into two broad categories. So-called direct problems address properties of the spectral data (spectrum, spectral measures etc.) of the equation, given its coefficients and boundary conditions, while
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::cdca4a0c39af8e23f0c673ac1c6e5b93
https://doi.org/10.1007/978-3-030-59088-8_7
https://doi.org/10.1007/978-3-030-59088-8_7
Publikováno v:
Universitext ISBN: 9783030590871
One might perhaps hope that all self-adjoint operators (in a separable Hilbert space) have an orthonormal basis of eigenvectors, but this is not the case.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::319db1c0ba43137c821ca1f9b3dbc27b
https://doi.org/10.1007/978-3-030-59088-8_3
https://doi.org/10.1007/978-3-030-59088-8_3
Publikováno v:
Universitext ISBN: 9783030590871
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bfc27022808c9b1f7c41f114f6ae1e1f
https://doi.org/10.1007/978-3-030-59088-8_2
https://doi.org/10.1007/978-3-030-59088-8_2
Publikováno v:
Universitext ISBN: 9783030590871
The work of Sturm and Liouville on expansion in eigenfunctions is heavily dependent on the study of the zeros of solutions of the equation, nowadays called oscillation theory.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f1c5fb580403063a172a5392f80df357
https://doi.org/10.1007/978-3-030-59088-8_6
https://doi.org/10.1007/978-3-030-59088-8_6
This graduate textbook offers an introduction to the spectral theory of ordinary differential equations, focusing on Sturm–Liouville equations.Sturm–Liouville theory has applications in partial differential equations and mathematical physics. Exa