An Example of a Non-Trivial, Non-Self-Adjoint Huygens Differential Equation in Four Independent Variables

作者：Czapor Stephanie R^*; McLenaghan Raymond G

来源：Zeitschrift fur Analysis und Ihre Anwendungen, 2016, 35(2): 199-210.

DOI：10.4171/ZAA/1562

• Initial value problem
• Huygens' principle
• Hadamard's problem
• non-self-adjoint wave equation

A family of non-trivial, essentially non-self-adjoint wave equations which satisfy Huygens' principle is given. It is constructed on a 4-dimensional Lorentzian space which is a product of two 2-dimensional spaces of constant curvature. Prior to this example, the only known non-trivial Huygens equation was the scalar wave equation on the exact plane wave spacetime as presented by Gunther.

• 出版日期2016