On the Euler-Poisson-Darboux equation

A. Erdélyi

doi:10.1007/bf02795492

On the Euler-Poisson-Darboux equation

Journal d Analyse Mathématique ◽

10.1007/bf02795492 ◽

1970 ◽

Vol 23 (1) ◽

pp. 89-102 ◽

Cited By ~ 8

Author(s):

A. Erdélyi

Keyword(s):

Darboux Equation

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Hodograph solutions of the dispersionless coupled KdV hierarchies, critical points and the Euler–Poisson–Darboux equation

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/43/43/434020 ◽

2010 ◽

Vol 43 (43) ◽

pp. 434020 ◽

Cited By ~ 8

Author(s):

B Konopelchenko ◽

L Martínez Alonso ◽

E Medina

Keyword(s):

Critical Points ◽

Darboux Equation

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Uniqueness and normality for M. riesz potentials and solutions of the darboux equation

Journal of Mathematical Sciences ◽

10.1007/bf02440149 ◽

1998 ◽

Vol 92 (1) ◽

pp. 3635-3639

Author(s):

A. I. Sergeev

Keyword(s):

Riesz Potentials ◽

Darboux Equation

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Solution of the Cauchy Problem for Generalized Euler-Poisson-Darboux Equation by the Method of Fractional Integrals

Progress in Partial Differential Equations - Springer Proceedings in Mathematics & Statistics ◽

10.1007/978-3-319-00125-8_15 ◽

2013 ◽

pp. 321-337 ◽

Cited By ~ 3

Author(s):

A. K. Urinov ◽

S. T. Karimov

Keyword(s):

Cauchy Problem ◽

Fractional Integrals ◽

The Cauchy Problem ◽

Darboux Equation

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Zero Sets of Solutions of the Generalized Darboux Equation

Advances in Analysis ◽

10.22606/aan.2017.24006 ◽

2017 ◽

Vol 2 (4) ◽

pp. 272-280

Author(s):

Valery Volchkov ◽

◽

Vitaly Volchkov ◽

Keyword(s):

Zero Sets ◽

Darboux Equation

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Poisson Formulas for Boundary Value Problems for the Euler–Poisson–Darboux Equation

Journal of Mathematical Sciences ◽

10.1007/s10958-019-04308-8 ◽

2019 ◽

Vol 239 (3) ◽

pp. 329-338 ◽

Cited By ~ 2

Author(s):

L. N. Lyakhov ◽

K. S. Yeletskikh ◽

E. L. Sanina

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Darboux Equation

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Inversion formulae for the spherical mean in odd dimensions and the Euler–Poisson–Darboux equation

Inverse Problems ◽

10.1088/0266-5611/24/2/025021 ◽

2008 ◽

Vol 24 (2) ◽

pp. 025021 ◽

Cited By ~ 3

Author(s):

Boris Rubin

Keyword(s):

Spherical Mean ◽

Darboux Equation ◽

Odd Dimensions

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A Radon transform on spheres through the origin in ${\bf R}\sp{n}$\ and applications to the Darboux equation

Transactions of the American Mathematical Society ◽

10.1090/s0002-9947-1980-0574800-3 ◽

1980 ◽

Vol 260 (2) ◽

pp. 575-575

Author(s):

A. M. Cormack ◽

E. T. Quinto

Keyword(s):

Radon Transform ◽

Darboux Equation

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Radial limits of positive solutions to the Darboux equation

Journal of Mathematical Sciences ◽

10.1007/s10958-009-9292-7 ◽

2009 ◽

Vol 156 (5) ◽

pp. 813-818

Author(s):

E. S. Dubtsov

Keyword(s):

Positive Solutions ◽

Radial Limits ◽

Darboux Equation

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A Radon Transform on Spheres Through the Origin in R n and Applications to the Darboux Equation

Transactions of the American Mathematical Society ◽

10.2307/1998023 ◽

1980 ◽

Vol 260 (2) ◽

pp. 575 ◽

Cited By ~ 5

Author(s):

A. M. Cormack ◽

E. T. Quinto

Keyword(s):

Radon Transform ◽

Darboux Equation

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Singular Cauchy problem for the general Euler-Poisson-Darboux equation

Open Mathematics ◽

10.1515/math-2018-0005 ◽

2018 ◽

Vol 16 (1) ◽

pp. 23-31 ◽

Cited By ~ 6

Author(s):

E.L. Shishkina

Keyword(s):

Cauchy Problem ◽

Bessel Operator ◽

Singular Cauchy Problem ◽

Darboux Equation

AbstractIn this paper we obtain the solution of the singular Cauchy problem for the Euler-Poisson-Darboux equation when differential Bessel operator acts by each variable.

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