Weighted and boundary $$L^{p}$$Lp estimates for solutions of the $$\overline{\partial }$$∂¯-equation on lineally convex domains of finite type and applications
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DOI: 10.1007/s00209-017-2015-8
Abstract: We obtain sharp weighted estimates for solutions of the equation $$\overline{\partial }u=f$$∂¯u=f in a lineally convex domain of finite type. Precisely we obtain estimates in the spaces $$L^{p}(\Omega ,\delta ^{\gamma })$$Lp(Ω,δγ), $$\delta $$δ being the… read more here.
Keywords: finite type; overline partial; estimates solutions; convex domains ... See more keywords
Interior estimates for solutions of the quadratic Hessian equations in dimension three
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DOI: 10.1016/j.jmaa.2020.124179
Abstract: Abstract We derive a priori C 2 , α interior estimates in dimension three for viscosity solutions of the quadratic Hessian equation σ 2 ( D 2 u ) = f ( x ) ,… read more here.
Keywords: interior estimates; dimension three; solutions quadratic; estimates solutions ... See more keywords
Estimates for Solutions to Neutral Differential Equations with Periodic Coefficients of Linear Terms
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DOI: 10.1134/s0037446619050069
Abstract: Under study are the systems of nonlinear delay differential equations of neutral type with periodic coefficients of linear terms. We establish sufficient conditions of exponential stability of the zero solution, point out the attraction domains… read more here.
Keywords: periodic coefficients; linear terms; estimates solutions; solutions neutral ... See more keywords