Út V. Lê

The Well-Posedness of a Semilinear Wave Equation Associated with a Linear Integral Equation at the Boundary

abstract:
In this paper, we prove the well-posedness for a mixed nonhomogeneous problem for a semilinear wave equation associated with a linear integral equation at the boundary.

Mathematics Subject Classification: 35L20, 35L70

Key words and phrases: Semilinear wave equation, linear integral equation, well-posedness, existence and uniqueness, stability