Isolated initial singularities for the viscous Hamilton-Jacobi equation

V´eron, The boundary trace and generalized boundary value problem for semilinear elliptic equations with coercive absorption, Comm. Stein, Singular integrals and

MURAT, Uniqueness and the maximum principle for quasilinear elliptic equations with quadratic growth conditions, Arch.. Ra-

Finally, the isolated singularities of positive solutions of (1.1) are completely described by the two types of singular solutions obtained in the previous theorem and we

ergodic attractor -, Ann. LIONS, A continuity result in the state constraints system. Ergodic problem, Discrete and Continuous Dynamical Systems, Vol. LIONS,

Question 2. LIONS, Fully nonlinear Neumann type boundary conditions for first- order Hamilton-Jacobi equations, Nonlinear Anal. Theory Methods Appl., Vol.. GARRONI,

From this we shall see that, in the particular case where L is a multiple of the Laplacian, the solution remains bounded for every finite time t > 0, as long as the finite

More precisely, we show that, for p > 1, global classical solutions to (1.1) decay to zero in W 1, ∞ (Ω) at the same (exponential) rate as the solutions to the linear heat

To summarize, precise asymptotic expansions show that the large time behavior of non- negative solutions to (1) with sufficiently localized initial data is determined by the