The Cauchy Problem for an Axially Symmetric Equation and the Schwarz Potential Conjecture for the Torus

Author:

Liu Hong

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference21 articles.

1. Transformations, Transmutations, and Kernel Functions;Begehr,1993

2. B. Brelot-Collin and M. Brelot, Repréntation intégrale des solutions postives de l'équation Lk(u)=∑ni=1(∂2u/∂x2i)+(k/xn)(∂u/∂xn)=0 (k constante reelle) dans le demi-espace E(xn>0) de Rn, inExtrait du Bulletin de l'Academie royale de Belgique (Classe des Sciences), Seance Du samedi, 4 Mars 1972, pp. 317–326.

3. The Schwarz Function and Its Applications;Davis,1974

4. On generalized axially symmetric potentials;Gilbert;J. Reine Angew. Math.,1963

5. Composition formulas in generalized axially symmetric potential theory;Gilbert;J. Math. Mech.,1964

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1. The Appell’s function F3 and the solutions of a PDE with singular coefficients;Complex Variables and Elliptic Equations;2018-05-11

2. Decomposition theorem and Riesz basis for axisymmetric potentials in the right half-plane;European Journal of Mathematics;2015-07-14

3. Exact solutions of a PDE with singular coefficients;Complex Variables and Elliptic Equations;2015-01-12

4. Exact solutions for a different version of the nonhomogeneous E.P.D equation;Complex Variables and Elliptic Equations;2006-03

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