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- W3049176297 abstract "Abstract In this paper, we study the Cauchy problem of the parabolic Monge–Ampère equation <m:math xmlns:m=http://www.w3.org/1998/Math/MathML> <m:mrow> <m:mrow> <m:mo>-</m:mo> <m:mrow> <m:msub> <m:mi>u</m:mi> <m:mi>t</m:mi> </m:msub> <m:mo></m:mo> <m:mrow> <m:mo movablelimits=false>det</m:mo> <m:mo></m:mo> <m:mrow> <m:msup> <m:mi>D</m:mi> <m:mn>2</m:mn> </m:msup> <m:mo></m:mo> <m:mi>u</m:mi> </m:mrow> </m:mrow> </m:mrow> </m:mrow> <m:mo>=</m:mo> <m:mrow> <m:mi>f</m:mi> <m:mo></m:mo> <m:mrow> <m:mo stretchy=false>(</m:mo> <m:mi>x</m:mi> <m:mo>,</m:mo> <m:mi>t</m:mi> <m:mo stretchy=false>)</m:mo> </m:mrow> </m:mrow> </m:mrow> </m:math> -u_{t}det D^{2}u=f(x,t) and obtain the existence and uniqueness of viscosity solutions with asymptotic behavior by using the Perron method." @default.
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- W3049176297 date "2020-08-06" @default.
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- W3049176297 title "Entire Solutions of Cauchy Problem for Parabolic Monge–Ampère Equations" @default.
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- W3049176297 doi "https://doi.org/10.1515/ans-2020-2102" @default.
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