The following information was submitted:
Transactions: INTERNATIONAL JOURNAL of MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES
Transactions ID Number: 20-260
Full Name: Igor Neygebauer
Position: Associate Professor
Age: ON
Sex: Male
Address: University of Dodoma, PO Box 259
Country: TANZANIA
Tel: 0787906918
Tel prefix: +255
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E-mail address: newigor52r@yahoo.com
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Title of the Paper: On additional conditions applied to the Laplace equation
Authors as they appear in the Paper: Igor Neygebauer
Email addresses of all the authors: newigor52r@yahoo.com
Number of paper pages: 8
Abstract: The paper shows the way of possible transformation of the classical Dirichlet problem for the Laplace equation to the problem with additional conditions. The classical solutions can have a singularity of their derivatives at the top of the angle domain or at the point boundary condition inside the domain under consideration. That solutions are transformed to the function which does not have singularities at any point and are named the MAC-solutions. The second Green's formula is used to obtain the additional condition to transform the classical solution in an angle. More general approach is suggested to introduce an integro-differential equation instead of Laplace equation.
Keywords: MAC-solution, Laplace equation, Dirichlet problem, additional conditions.
EXTENSION of the file: .doc
Special (Invited) Session: On the method of additional conditions for the Laplace equation in an angle.
Organizer of the Session: 150-107
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