A product formula for semigroups of Lipschitz operators associated with abstract quasilinear evolution equations

作者：Tanaka Naoki^*

来源：Mathematische Nachrichten, 2012, 285(4): 507-527.

DOI：10.1002/mana.201010084

• Semigroup of Lipschitz operators
• abstract quasilinear evolution equation
• product formula
• finite difference scheme
• MSC (2010) Primary: 47H20
• Secondary: 34G20

The notion of semigroups of Lipschitz operators associated with abstract quasilinear evolution equations is introduced and a product formula for such semigroups is established. The product formula obtained in the paper is applied to the solvability of the Cauchy problem for a first order quasilinear system through a finite difference scheme of the Lax-Friedrichs type.

• 出版日期2012-3