RADO TYPE REMOVABILITY RESULT FOR FULLY NONLINEAR EQUATIONS

KA Z U HIRO; TA KIMOTO

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RADO TYPE REMOVABILITY RESULT FOR FULLY NONLINEAR EQUATIONS

机译：完全非线性方程的RADO型可动性结果

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We consider the removability of a level set for solutions to fully nonlinear elliptic and parabolic equations. We prove that if a C1 function u is a viscosity solution to the fully nonlinear equation F(x, u, Du, D'2U) - 0 or ut +F(t, x, u, Du, D'2v) = 0 in a domain outside the zero-level set of u, then u is indeed a viscosity solution to the same equation in the whole domain, under some hypotheses on F. We also establish the removability result for singular fully nonlinear equations.

机译：我们考虑了完全非线性椭圆和抛物线方程解的水平集的可移动性。我们证明如果C1函数u是完全非线性方程F（x，u，Du，D'2U）-0或ut + F（t，x，u，Du，D'2v）= 0的粘度解在u的零级集之外的域中，那么在F上的某些假设下，u确实是整个域中同一方程的粘度解。我们还建立了奇异的完全非线性方程的可移动性结果。

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《Differential and integral equations》 |2007年第8期|共22页
作者
KA Z U HIRO; TA KIMOTO;
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正文语种 eng
中图分类微分方程、积分方程;
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1. RADO TYPE REMOVABILITY RESULT FOR FULLY NONLINEAR EQUATIONS [J] . KA Z U HIRO, TA KIMOTO Differential and integral equations . 2007,第8期

机译：完全非线性方程的RADO型可动性结果
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RADO TYPE REMOVABILITY RESULT FOR FULLY NONLINEAR EQUATIONS

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