Solvability of the First Boundary-Value Problem for the Heat-Conduction Equation with Nonlinear Sources and Strong Power Singularities

被引：0

作者：

Chmyr, O. Yu. ^{[1
]}

机构：

[1] Lviv State Univ Safety Vital Act, Lvov, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2014年 / 65卷 / 10期

关键词：

EXPONENTS;

D O I：

10.1007/s11253-014-0877-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

By using the Schauder principle and the principle of contracting mappings, we study the character of point power singularities for the solution of the generalized first boundary-value problem for the heat-conduction equation with nonlinear boundary conditions. We establish sufficient conditions for the solvability of the analyzed problem.

引用

页码：1542 / 1565

页数：24

共 50 条

[1] Solvability of the First Boundary-Value Problem for the Heat-Conduction Equation with Nonlinear Sources and Strong Power Singularities
O. Yu. Chmyr
Ukrainian Mathematical Journal, 2014, 65 : 1542 - 1565
[2] HYPERBOLIC HEAT-CONDUCTION EQUATION. MIXED BOUNDARY-VALUE PROBLEM
Lenyuk, M. P.
Lakusta, K. V.
JOURNAL OF ENGINEERING PHYSICS AND THERMOPHYSICS, 2009, 82 (01) : 170 - 175
[3] On the solvability of the first boundary value problem for the loaded equation of heat conduction
Jenaliyev, M. T.
Iskakov, S. A.
Ramazanov, M. I.
Tuleutaeva, Zh. M.
BULLETIN OF THE KARAGANDA UNIVERSITY-MATHEMATICS, 2018, 89 (01): : 33 - 41
[4] NONLINEAR INITIAL BOUNDARY-VALUE PROBLEMS OF HEAT-CONDUCTION AND DIFFUSION
ZISCHKA, KA
CHOW, PS
SIAM REVIEW, 1974, 16 (01) : 17 - 35
[5] SOLUTION OF STATIONARY NONLINEAR BOUNDARY-VALUE PROBLEMS OF HEAT-CONDUCTION
RVACHOV, VL
SLESARENKO, AP
SAFONOV, MO
DOPOVIDI AKADEMII NAUK UKRAINSKOI RSR SERIYA A-FIZIKO-MATEMATICHNI TA TECHNICHNI NAUKI, 1974, (11): : 1015 - 1021
[6] SOLVABILITY OF A BOUNDARY-VALUE PROBLEM FOR A NONLINEAR DEGENERATING HYPERBOLIC EQUATION
SEMERDZHIEVA, RI
DIFFERENTIAL EQUATIONS, 1992, 28 (07) : 908 - 916
[7] GLOBAL CONVERGENCE OF AN IMPLICIT DIFFERENTIAL PROCESS FOR A FREE BOUNDARY-VALUE PROBLEM OF HEAT-CONDUCTION EQUATION
SACHS, A
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK, 1974, 54 (04): : T232 - T233
[8] ANALYTICAL SOLUTION OF A NEW MIXED BOUNDARY-VALUE PROBLEM IN HEAT-CONDUCTION
PAYVAR, P
QUARTERLY JOURNAL OF MECHANICS AND APPLIED MATHEMATICS, 1979, 32 (AUG): : 253 - 258
[9] Three-dimensional boundary-value inverse heat-conduction problem
Alifanov, OM
Nenarokomov, AV
HIGH TEMPERATURE, 1999, 37 (02) : 209 - 216
[10] On the solvability of a boundary-value problem for an elliptic equation
Il'in, A. M.
Rep'evskii, S. V.
MATHEMATICAL NOTES, 2012, 92 (1-2) : 197 - 204

← 1 2 3 4 5 →