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math.AP2026
Non-unique solutions to the periodic gKdV equation
Nicholas Gismondi, Kunyi, Ma +2
In this paper we utilize a convex integration scheme to construct non-trivial weak solutions to the -generalized KdV equation which lie in $$ \bigcap_{ε> 0} C_t^0 L_x^{k-ε}([0,1…
math.AP2026
Nontrivial weak solutions of the stationary KdV equation in sharp spaces
Mandon Pathak
In this paper we utilize a convex integration scheme to construct non-trivial solutions to the stationary KdV equation which lie in , . In addition, we demo…