6533b824fe1ef96bd12808fe

RESEARCH PRODUCT

Elliptic 1-Laplacian equations with dynamical boundary conditions

Marta LatorreSergio Segura De León

subject

SemigroupApplied MathematicsOperator (physics)010102 general mathematicsMathematical analysis01 natural sciences010101 applied mathematicsNonlinear systemElliptic curveUniquenessBoundary value problem0101 mathematicsLaplace operatorAnalysisMathematics

description

Abstract This paper is concerned with an evolution problem having an elliptic equation involving the 1-Laplacian operator and a dynamical boundary condition. We apply nonlinear semigroup theory to obtain existence and uniqueness results as well as a comparison principle. Our main theorem shows that the solution we found is actually a strong solution. We also compare solutions with different data.

yearjournalcountryeditionlanguage
2018-08-01Journal of Mathematical Analysis and Applications
https://doi.org/10.1016/j.jmaa.2018.02.006