Zobrazeno 1 - 10
of 114
pro vyhledávání: '"Wolfgang Tutschke"'
This volume takes up various topics in Mathematical Analysis including boundary and initial value problems for Partial Differential Equations and Functional Analytic methods.Topics include linear elliptic systems for composite material — the coeffi
Functional analysis is not only a tool for unifying mathematical analysis, but it also provides the background for today's rapid development of the theory of partial differential equations. Using concepts of functional analysis, the field of complex
Autor:
Wolfgang Tutschke
Publikováno v:
Advances in Applied Clifford Algebras. 25:441-451
Since all real-valued components of monogenic functions are solutions of the Laplace equation, a monogenic function is completely determined by the boundary values of its components. However, in order ro recover a monogenic function, one does not nee
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::ce347c0a966b57b50e63081478301974
https://doi.org/10.1007/s00006-014-0484-y
https://doi.org/10.1007/s00006-014-0484-y
Autor:
Wolfgang Tutschke, Le Hung Son
Publikováno v:
Complex Variables and Elliptic Equations. 58:293-298
A multi-monogenic function u is separately monogenic in several variables x (j), j = 1, … , n with n ≥ 2, if runs in the Euclidean space and u is monogenic with respect to x (j). Using an algebraic structure of Clifford type depending on paramete
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::925215ec311268ad32c33e39216999f1
https://doi.org/10.1080/17476933.2011.581754
https://doi.org/10.1080/17476933.2011.581754
Publikováno v:
Advances in Applied Clifford Algebras. 21:829-838
The paper starts with generalization of Clifford algebras using other structure relations which possibly depend on spacelike variables. For piecewise constant structure relations the paper constructs fundamental solutions explicitly and proves a Cauc
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4ac6770edd78f466d038946b5893fa81
https://doi.org/10.1007/s00006-011-0282-8
https://doi.org/10.1007/s00006-011-0282-8
Publikováno v:
Complex Variables and Elliptic Equations. 56:113-118
In this article a Dirichlet problem in R 3 is solved for functions which are monogenic with respect to a Clifford algebra depending on parameters. If the parameters of the Clifford algebra depend on the variable x ∈ R 3, then the coefficients of th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::bf04a888dfb8da2a030f2aa762ea4221
https://doi.org/10.1080/17476930903394762
https://doi.org/10.1080/17476930903394762
Autor:
Wolfgang Tutschke
Publikováno v:
gmj. 14:581-595
Originally I. N. Vekua's theory of generalized analytic functions dealt only with linear systems of partial differential equations in the plane. The present paper shows why I. N. Vekua's ideas are also fruitful for the solution of linear and non-line
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f15238a95c1a27502d2c95f9d6c3be3e
https://doi.org/10.1515/gmj.2007.581
https://doi.org/10.1515/gmj.2007.581
Autor:
Nguyen Thanh Van, Wolfgang Tutschke
Publikováno v:
Complex Variables and Elliptic Equations. 52:367-375
Initial value problems of type can be solved by the contraction-mapping principle in case the initial function ϕ belongs to an associated space whose elements satisfy an interior estimate. The present article proves such an interior estimate in the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d22c6a4f99aaa58b33134108c509a43
https://doi.org/10.1080/17476930601140368
https://doi.org/10.1080/17476930601140368
Autor:
Wolfgang Tutschke
Publikováno v:
Complex Variables and Elliptic Equations. 51:821-824
If the initial function ϕ( x ) satisfies an associated differential equation, the solution u(t, x) of an initial value problem is a solution of the same differential equation for each t, where t denotes the time. The present article deals with the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9633d1547b29406c1648a942461a10fe
https://doi.org/10.1080/17476930600667569
https://doi.org/10.1080/17476930600667569
Autor:
Le Thu Hoai, Wolfgang Tutschke
Publikováno v:
Zeitschrift für Analysis und ihre Anwendungen. :385-392
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5f03e1076e268ea56da938f88ed0065e
https://doi.org/10.4171/zaa/1295
https://doi.org/10.4171/zaa/1295