BOUNDARY-VALUE PROBLEMS FOR A NONLINEAR PARABOLIC EQUATION WITH LEVY LAPLACIAN RESOLVED WITH RESPECT TO THE DERIVATIVE

被引：0

作者：

Feller, M. N. ^{[1
]}

Kovtun, I. I. ^{[2
]}

机构：

[1] Resurs Ukrainian Sci Res Inst, Kiev, Ukraine

[2] Natl Univ Biol Resources & Nat Management Ukraine, Kiev, Ukraine

来源：

UKRAINIAN MATHEMATICAL JOURNAL | 2011年 / 62卷 / 10期

关键词：

Hilbert Space; Harmonic Function; Bounded Domain; Differentiable Function; Hyperbolic Equation;

D O I：

10.1007/s11253-011-0454-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present the solutions of boundary-value and initial boundary-value problems for a nonlinear parabolic equation with Levy Laplacian Delta(L) resolved with respect to the derivative partial derivative U(t, x)/partial derivative t = f(U(t, x) Delta(L) U(t, x)) in fundamental domains of a Hilbert space.

引用

页码：1625 / 1634

页数：10

共 50 条

[1] Boundary-value problems for a nonlinear parabolic equation with Lévy Laplacian resolved with respect to the derivative
M. N. Feller
I. I. Kovtun
[J]. Ukrainian Mathematical Journal, 2011, 62
[2] Nonlinear Boundary-Value Problems Unsolved with Respect to the Derivative
Samoilenko, A. M.
Chuiko, S. M.
Nesmelova, O., V
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2021, 72 (08) : 1280 - 1293
[3] Nonlinear Boundary-Value Problems Unsolved with Respect to the Derivative
A. M. Samoilenko
S. M. Chuiko
O. V. Nesmelova
[J]. Ukrainian Mathematical Journal, 2021, 72 : 1280 - 1293
[4] BOUNDARY-VALUE PROBLEMS FOR THE WAVE EQUATION WITH LEVY LAPLACIAN IN THE GATEAUX CLASS
Feller, M. N.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2009, 61 (11) : 1839 - 1852
[5] Nonlinear Integrodifferential Boundary-Value Problems Unsolvable with Respect to the Derivative
Chuiko S.M.
Chuiko O.V.
Kuzmina V.O.
[J]. Journal of Mathematical Sciences, 2023, 270 (2) : 385 - 395
[6] Boundary-value problems for a nonlinear hyperbolic equation with Lévy Laplacian
I. I. Kovtun
M. N. Feller
[J]. Ukrainian Mathematical Journal, 2013, 64 : 1688 - 1697
[7] Boundary-value problems for a nonlinear hyperbolic equation with L,vy Laplacian
Kovtun, I. I.
Feller, M. N.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2013, 64 (11) : 1688 - 1697
[8] BOUNDARY PROBLEMS FOR FULLY NONLINEAR PARABOLIC EQUATIONS WITH LEVY LAPLACIAN
Albeverio, S.
Belopolskaya, Ya.
Feller, M.
[J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2008, 14 (01): : 1 - 9
[9] BOUNDARY PROBLEMS AND INITIAL-BOUNDARY VALUE PROBLEMS FOR ONE CLASS OF NONLINEAR PARABOLIC EQUATIONS WITH LEVY LAPLACIAN
Feller, M. N.
Kovtun, I. I.
[J]. METHODS OF FUNCTIONAL ANALYSIS AND TOPOLOGY, 2011, 17 (02): : 118 - 125
[10] Nonlinear Integrodifferential Boundary-Value Problems with Deviating Argument Unsolved with Respect to the Derivative
Boichuk, O. A.
Chuiko, S. M.
Kuzmina, V. O.
[J]. UKRAINIAN MATHEMATICAL JOURNAL, 2023, 74 (09) : 1334 - 1347

← 1 2 3 4 5 →