Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation
Blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation
Abstract In this paper, we study blow-up criteria and instability of normalized standing waves for the fractional Schrödinger-Choquard equation <m:math xmlns:m="http://www.w3.org/1998/Math/MathML" display="block"> <m:mtable rowspacing="4pt" columnspacing="1em"> <m:mtr> <m:mtd> <m:mstyle displaystyle="true"> <m:mi>i</m:mi> <m:msub> <m:mi mathvariant="normal">∂</m:mi> <m:mi>t</m:mi> </m:msub> <m:mi>ψ</m:mi> <m:mo>−</m:mo> <m:mo stretchy="false">(</m:mo> <m:mo>−</m:mo> <m:mrow class="MJX-TeXAtom-ORD"> <m:mi class="MJX-tex-mathit" mathvariant="italic">Δ</m:mi> </m:mrow> <m:msup> <m:mo stretchy="false">)</m:mo> <m:mi>s</m:mi> …