Semilinear hyperbolic systems with singular non-local boundary conditions: Reflection of singularities and delta waves

DOI10.4171/ZAA/1036zbMath0985.46027MaRDI QIDQ5949159

Günther Hörmann, I. Ya. Kmit'

Publication date: 14 November 2001

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)

zbMATH Keywords

initial-boundary value problemsalgebra of generalized functionsdelta wavesDirac delta typefirst-order semilinear hyperbolic systemsnon-local boundary conditionsstrong singularities

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30)

Related Items (4)

Robustness of the exponential dichotomies of boundary-value problems for the general first-order hyperbolic systems ⋮ Finite time stabilization to zero and exponential stability of quasilinear hyperbolic systems ⋮ Symmetric hyperbolic systems in algebras of generalized functions and distributional limits ⋮ Perturbations of superstable linear hyperbolic systems

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