DYNAMIC BOUNDARY CONDITIONS FOR TIME DEPENDENT FRACTIONAL OPERATORS ON EXTENSION DOMAINS

被引：0
作者：
Creo, Simone [1 ]
Lancia, Maria Rosaria [1 ]
机构：
[1] Sapienza Univ, Dipartimento Sci Base & Applicate Ingn, via Antonio Scarpa 16, I-00161 Rome, Italy
来源：
ADVANCES IN DIFFERENTIAL EQUATIONS | 2024年 / 29卷 / 9-10期
关键词：
BESOV-SPACES; NONEXISTENCE; DIFFUSION; EXISTENCE; EQUATIONS;
D O I：
10.57262/ade029-0910-727
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a parabolic semilinear non-autonomous problem ( P similar to) for a fractional time dependent operator Bs,t boundary conditions in a possibly non-smooth domain omega subset of RN. We prove existence and uniqueness of the mild solution of the associated semilinear abstract Cauchy problem (P) via an evolution family U(t, tau). We then prove that the mild solution of the abstract problem (P) actually solves problem ( P similar to) via a generalized fractional Green formula.
引用
收藏
页码：727 / 756
页数：30
相关论文
共 50 条
  • [31] Inverse problems for SturmLiouville operators with interior discontinuities and boundary conditions dependent on the spectral parameter
    Wang, Yu Ping
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2013, 36 (07) : 857 - 868
  • [32] Spectrum of the Sturm-Liouville operators with boundary conditions polynomially dependent on the spectral parameter
    Yokus, Nihal
    Koprubasi, Turhan
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2015,
  • [33] ON INVERSE PROBLEMS FOR UNCOUPLED SPACE-TIME FRACTIONAL OPERATORS INVOLVING TIME-DEPENDENT COEFFICIENTS
    Li, Li
    INVERSE PROBLEMS AND IMAGING, 2023, 17 (04) : 890 - 906
  • [34] Parabolic equations in time-dependent domains
    Calvo, Juan
    Novaga, Matteo
    Orlandi, Giandomenico
    JOURNAL OF EVOLUTION EQUATIONS, 2017, 17 (02) : 781 - 804
  • [35] Fractional boundary value problems with integral boundary conditions
    Graef, John R.
    Kong, Lingju
    Kong, Qingkai
    Wang, Min
    APPLICABLE ANALYSIS, 2013, 92 (10) : 2008 - 2020
  • [36] The Fujita phenomenon in exterior domains under the Robin boundary conditions
    Rault, Jean-Francois
    COMPTES RENDUS MATHEMATIQUE, 2011, 349 (19-20) : 1059 - 1061
  • [37] Extension Problems Related to Fractional Operators on Metric Measure Spaces
    Wang, Zhiyong
    Li, Pengtao
    Liu, Yu
    FRONTIERS OF MATHEMATICS, 2025, 20 (01): : 1 - 42
  • [38] AN EXTENSION OF THE LANDWEBER REGULARIZATION FOR A BACKWARD TIME FRACTIONAL WAVE PROBLEM
    Fan, Bin
    Azaiez, Mejdi
    Xu, Chuanju
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2021, 14 (08): : 2893 - 2916
  • [39] On semipositone discrete fractional boundary value problems with non-local boundary conditions
    Goodrich, Christopher S.
    JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2013, 19 (11) : 1758 - 1780
  • [40] COUPLED SYSTEMS OF FRACTIONAL DIFFERENTIAL INCLUSIONS WITH COUPLED BOUNDARY CONDITIONS
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2019,
12345