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pseudoconformal (not comparable)

1. (mathematics) This term needs a definition. Please help out and add a definition, then remove the text {{rfdef}}.
   • 2015, Justin Holmer, Chang Liu, “Blow-up for the 1D nonlinear Schrödinger equation with point nonlinearity I: Basic theory”, in arXiv‎:

     Specifically, we (1) obtain a sharp Gagliardo-Nirenberg inequality analogous to Weinstein (1983), (2) apply the sharp Gagliardo-Nirenberg inequality and a local virial identity to obtain a sharp global existence/blow-up threshold analogous to Weinstein (1983), Glassey (1977) in the case ${\displaystyle \sigma _{c}=0}$ and Duyckaerts, Holmer, & Roudenko (2008), Guevara (2014), and Fang, Xie, & Cazenave (2011) for <math xmlns="http://www.w3.org/1998/Math/MathML" alttext="{\displaystyle 0<\sigma _{c}<1}"> 0 < σ c < 1 {\displaystyle 0<\sigma _{c}<1} <img loading="lazy" src="https://wikimedia.org/api/rest_v1/media/math/render/svg/bfa9317e2b4b497d251d18d29684e168ab420f91" class="mwe-math-fallback-image-inline mw-invert skin-invert" aria-hidden="true" style="vertical-align: -0.671ex; width:10.793ex; height:2.509ex;" alt="{\displaystyle 0<\sigma _{c}<1}">, (3) prove a sharp mass concentration result in the ${\displaystyle L^{2}}$ critical case analogous to Tsutsumi (1990), Merle & Tsutsumi (1990) and (4) show that minimal mass blow-up solutions in the ${\displaystyle L^{2}}$ critical case are pseudoconformal transformations of the ground state, analogous to Merle (1993)..

2. That appears to conform, but in practice does not.