T-minima for nonlinear parabolic problems: a variational approach for L1 data

被引：0

作者：

Boccardo, Lucio ^{[1
]}

Orsina, Luigi ^{[1
]}

Porzio, Maria Michaela ^{[1
]}

机构：

[1] Sapienza Univ Roma, Dipartimento Matemat, Rome, Italy

来源：

JOURNAL OF EVOLUTION EQUATIONS | 2018年 / 18卷 / 04期

关键词：

Nonlinear parabolic equations; Irregular data; Variational approach; EXISTENCE; UNIQUENESS; EQUATIONS;

D O I：

10.1007/s00028-018-0463-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study nonlinear parabolic problems with data. We prove existence of solutions via minimization, using a variational approach.

引用

页码：1843 / 1852

页数：10

共 13 条

[1]

[Anonymous], 1986, Annali di Matematica Pura ed Applicata, DOI [DOI 10.1007/BF01762360.MR916688, DOI 10.1007/BF01762360]

[2]

Bnilan P., 1995, Ann. Scuola Norm. Sup. Pisa Cl. Sci, V22, P241

[3] Nonlinear parabolic equations with measure data [J].

Boccardo, L ;

DallAglio, A ;

Gallouet, T ;

Orsina, L .

JOURNAL OF FUNCTIONAL ANALYSIS, 1997, 147 (01) :237-258

[4] NON-LINEAR ELLIPTIC AND PARABOLIC EQUATIONS INVOLVING MEASURE DATA [J].

BOCCARDO, L ;

GALLOUET, T .

JOURNAL OF FUNCTIONAL ANALYSIS, 1989, 87 (01) :149-169

[5]

Boccardo L., 2000, RIC MAT, V49, P135

[6] Existence of evolutionary variational solutions via the calculus of variations [J].

Boegelein, Verena ;

Duzaar, Frank ;

Marcellini, Paolo .

JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (12) :3912-3942

[7] Parabolic Systems with p, q-Growth: A Variational Approach [J].

Boegelein, Verena ;

Duzaar, Frank ;

Marcellini, Paolo .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2013, 210 (01) :219-267

[8]

Brezis H., 1976, C R ACAD SCI PARIS A, V282, pA1197

[9]

Dall'Aglio A., 1992, Differ Integral Equ, V5, P1335

[10]

Ekeland I, 1976, C. R. Acad. Sci. Paris Ser. A-B, V282, pA971

← 1 2 →