Corpus ID: 202537705

Parabolic equations with dynamic boundary conditions and drift terms

@article{Khoutaibi2019ParabolicEW,
  title={Parabolic equations with dynamic boundary conditions and drift terms},
  author={A. Khoutaibi and L. Maniar and D. Mugnolo and A. Rhandi},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
  • A. Khoutaibi, L. Maniar, +1 author A. Rhandi
  • Published 2019
  • Mathematics
  • arXiv: Analysis of PDEs
  • The aim of this paper is to study the wellposedness and $L^2$-regularity, firstly for a linear heat equation with dynamic boundary conditions by using the approach of sesquilinear forms, and secondly for its backward adjoint equation using the Galerkin approximation and the extension semigroup to a negative Sobolev space. 
    2 Citations

    References

    SHOWING 1-10 OF 25 REFERENCES
    Dynamic Boundary Conditions and Boundary Control for the One-Dimensional Heat Equation
    • 10
    Maximal Lp-regularity of parabolic problems with boundary dynamics of relaxation type
    • 58
    • PDF
    Vector-valued heat equations and networks with coupled dynamic boundary conditions
    • 15
    • PDF
    Controllability of parabolic equations
    • 161
    Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions
    • 107
    • PDF
    Heat equation with dynamical boundary conditions of reactive–diffusive type
    • 36
    • PDF
    Global Carleman Inequalities for Parabolic Systems and Applications to Controllability
    • 140
    • PDF