Nonlinear heat equation with L1-data

被引：9
|
作者：
Roubicek, Tomas [1 ,2 ]
机构：
[1] Charles Univ Prague, Math Inst, CZ-18675 Prague 8, Czech Republic
[2] Acad Sci Czech Republ, Inst Informat Theory & Automat, CZ-18208 Prague 8, Czech Republic
来源：
NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 1998年 / 5卷 / 04期
关键词：
D O I：
10.1007/s000300050060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A nonlinear heat equation with Newton-type boundary conditions with all heat sources being bounded only in L-1-norms is investigated. An integral solution is then de fi ned and its existence, uniqueness and continuous dependence is proved by using accretivity of the stationary part in L-1(Omega) x L-1(Gamma).
引用
收藏
页码：517 / 527
页数：11
相关论文
共 50 条
  • [41] THERMO-VISCO-ELASTICITY AT SMALL STRAINS WITH L1-DATA
    Roubicek, Tomas
    QUARTERLY OF APPLIED MATHEMATICS, 2009, 67 (01) : 47 - 71
  • [42] A unilateral problem for elliptic equations with quadratic growth and for L1-data
    Saad, M
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2001, 44 (02) : 217 - 238
  • [43] Non-Uniformly Degenerated Parabolic Equations with L1-Data
    Aberqi, A.
    Bennouna, J.
    Hammoumi, M.
    2ND INTERNATIONAL CONFERENCE ON APPLIED MATHEMATICS, ICAM'2018, 2019, 2074
  • [44] A NOTE ON UNIQUENESS FOR L1-DATA ELLIPTIC PROBLEMS WITH ORLICZ GROWTH
    Chlebicka, Iwona
    Giannetti, Flavia
    Zatorska-Goldstein, Anna
    COLLOQUIUM MATHEMATICUM, 2022, 168 (02) : 199 - 210
  • [45] The Dirichlet problem for the 1-Laplacian with a general singular term and L1-data
    Latorre, Marta
    Oliva, Francescantonio
    Petitta, Francesco
    Segura de Leon, Sergio
    NONLINEARITY, 2021, 34 (03) : 1791 - 1816
  • [46] A nonlinear heat equation with singular initial data
    Brezis, H
    Cazenave, T
    JOURNAL D ANALYSE MATHEMATIQUE, 1996, 68 : 277 - 304
  • [47] On 1-Laplacian elliptic problems involving a singular term and an L1-data
    El Hadfi, Youssef
    El Hichami, Mohamed
    JOURNAL OF ELLIPTIC AND PARABOLIC EQUATIONS, 2023, 9 (01) : 501 - 533
  • [48] Existence of Solution for a General Class of Strongly Nonlinear Elliptic Problems Having Natural Growth Terms and L1-Data
    Akdim, Youssef
    Ouboufettal, Morad
    ANALYSIS IN THEORY AND APPLICATIONS, 2023, 39 (01): : 53 - 68
  • [49] The obstacle problem for noncoercive elliptic equations with variable growth and L1-data
    Ayadi, Hocine
    Mokhtari, Fares
    Souilah, Rezak
    PORTUGALIAE MATHEMATICA, 2022, 79 (1-2) : 61 - 83
  • [50] DIRICHLET PROBLEMS FOR SECOND ORDER LINEAR ELLIPTIC EQUATIONS WITH L1-DATA
    Kim, H.
    Oh, J. I. S. U.
    COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2023, 22 (06) : 1899 - 1917
12345