1. In mathematics and functional analysis, solutions to equations or problems that are defined and evaluated at each individual point in a domain, rather than globally or in aggregate.
The pointwise solutions to the differential equation were verified by substituting each solution back into the original equation.
As soluções pontuais da equação diferencial foram verificadas substituindo cada solução de volta na equação original.
2. Solutions that hold true at every single point of a function or set, as opposed to solutions that hold in a weaker or integral sense.
Pointwise solutions require that the equation be satisfied at every point in the domain.
As soluções pontuais exigem que a equação seja satisfeita em cada ponto do domínio.