Semi-linear wave equations
Semi-linear wave equations
We survey existence and regularity results for semi-linear wave equations. In particular, we review the recent regularity results for the <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="u Superscript 5"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>u</mml:mi> <mml:mn>5</mml:mn> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{u^5}</mml:annotation> </mml:semantics> </mml:math> </inline-formula>-Klein Gordon equation by Grillakis and this author and give a …