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math.AP2019★ 4 cited
Initial Data Identification in Conservation Laws and Hamilton-Jacobi Equations
Rinaldo Colombo, Vincent Perrollaz
In the scalar 1D case, conservation laws and Hamilton-Jacobi equations are deeply related. For both, we characterize those profiles that can be attained as solutions at a given pos…
math.AP2019★ 1 cited
Weak solutions of semilinear elliptic equations with Leray-Hardy potential and measure data
Laurent Veron, Huyuan Chen
We study existence and stability of solutions of (E 1) --u + |x| 2 u + g(u) = in , u = 0 on , where is a bounded, smooth domain of R N , N 2, c…