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math.AP2025
The eternal solutions of parabolic equations with boundary condition
Jingqi Liang, Lidan Wang
In this paper, we study the parabolic equations of the form $$ \left\{ \begin{array}{rcll} Lu(y,t) &=& f, \qquad &(y,t)\in Q,\\ u(y,t)&=& 0, \qquad &(y,t)\in \partial Q, \\ u(y,t)&…
math.AP2024
Interior pointwise and regularity of solutions for general semilinear elliptic equation in nondivergence form
Jingqi Liang
In this paper, we obtain and regularity of -viscosity solutions for general semilinear elliptic equation in nondivergence form under some more weaker assum…