Recovery of coefficients for a weighted <i>p</i> -Laplacian perturbed by a linear second order term
Cătălin I Cârstea, Manas Kar
Abstract
Abstract This paper considers the inverse boundary value problem for the equation ∇ ⋅ ( σ ∇ u + a |∇ u | p −2 ∇ u ) = 0. We give a procedure for the recovery of the coefficients σ and a from the corresponding Dirichlet-to-Neumann map, under suitable regularity and ellipticity assumptions.
Topics & Concepts
MathematicsTerm (time)InverseInverse problemApplied mathematicsMathematical analysisBoundary value problemOrder (exchange)Boundary (topology)Value (mathematics)Boundary valuesInitial value problemFirst orderLinear systemLinear equationLong-term predictionNumerical methods in inverse problemsNonlinear Partial Differential EquationsAdvanced Mathematical Modeling in Engineering