6533b82bfe1ef96bd128e0ee

RESEARCH PRODUCT

Existence and Regularity for a Class of Nonlinear Hyperbolic Boundary Value Problems

Veli-matti HokkanenGh. Moroşanu

subject

Cauchy problemtelegraph systemApplied MathematicsMathematical analysisD'Alembert formulaeMixed boundary conditionRobin boundary conditionNonlinear systemhigher regularitynonlinear boundary conditionsFree boundary problemNeumann boundary conditionsemigroup approachApplied mathematicsCauchy boundary conditionBoundary value problemAnalysisMathematics

description

AbstractThe regularity of the solution of the telegraph system with nonlinear monotone boundary conditions is investigated by two methods. The first one is based on D'Alembert-type representation formulae for the solution. In the second method the telegraph system is reduced to a linear Cauchy problem with a locally Lipschitzian functional perturbation; then regularity results are established by appealing to the theory of linear semigroups.

yearjournalcountryeditionlanguage
2002-02-01Journal of Mathematical Analysis and Applications
10.1006/jmaa.2001.7757http://dx.doi.org/10.1006/jmaa.2001.7757