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

页码：517 / 527

页数：11

共 50 条

[1] Nonlinear heat equation with L1-data
Tomáš Roubíček
Nonlinear Differential Equations and Applications NoDEA, 1998, 5 : 517 - 527
[2] Renormalized solutions for a nonlinear parabolic equation with variable exponents and L1-data
Bendahmane, M.
Wittbold, P.
Zimmermann, A.
JOURNAL OF DIFFERENTIAL EQUATIONS, 2010, 249 (06) : 1483 - 1515
[3] On a nonlinear elliptic-parabolic integro-differential equation with L1-data
Jakubowski, VG
Wittbold, P
JOURNAL OF DIFFERENTIAL EQUATIONS, 2004, 197 (02) : 427 - 445
[4] Existence of a Renormalized Solution to a Nonlinear Elliptic Equation with L1-Data in the Space ℝn
L. M. Kozhevnikova
Journal of Mathematical Sciences, 2024, 286 (3) : 382 - 402
[5] Existence and uniqueness for a degenerate parabolic equation with L1-data
Andreu, F
Mazón, JM
De León, SS
Toledo, J
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1999, 351 (01) : 285 - 306
[6] ON THE SOLUTIONS OF NONLOCAL 1-LAPLACIAN EQUATION WITH L1-DATA
Li, Dingding
Zhang, Chao
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2024, 44 (05) : 1354 - 1375
[7] A Kinetic Approach in Nonlinear Parabolic Problems with L1-Data
Pierre, Michel
Vovelle, Julien
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2012, 31 (03): : 307 - 334
[8] Convergence of the solutions of nonlinear obstacle problems with L1-data
2000, IOS Press (24) : 3 - 4
[9] On nonlinear elliptic equations with Hardy potential and L1-data
Youssfi, Ahmed
Azroul, Elhoussine
Hjiaj, Hassan
MONATSHEFTE FUR MATHEMATIK, 2014, 173 (01): : 107 - 129
[10] Convergence of the solutions of nonlinear obstacle problems with L1-data
Cirmi, GR
ASYMPTOTIC ANALYSIS, 2000, 24 (3-4) : 233 - 253

← 1 2 3 4 5 →