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math.AP2025
Evolutionary equations with state-dependent delay
Bernhard Aigner, Marcus Waurick
We extend a contraction mapping argument for ordinary state-dependent delay differential equations to evolutionary partial differential equations in the sense of R. Picard, that is…
math.AP2025
Well-posedness and stability of the Lagrange representation of the n-D wave equation via boundary triples
Bernhard Aigner, Nathanael Skrepek
We study the Lagrange representation of the wave equation with generalized Laplacian . We allow the coefficients -- the Young modulus and the densi…