Equations of second order in time with quasilinear damping: existence in Orlicz spaces via convergence of a full discretisation1
نویسندگان
چکیده
Differential equations of the type ∂ttu − ∇ · a(∇∂tu) − ∆u = f are studied, where the nonlinear mapping a is continuous, monotone and satisfies a coercivity condition in terms of a (generalised) N -function. The class of problems thus includes the case of anisotropic and nonpolynomial growth. Global existence of solutions in the sense of distributions is shown via convergence of the backward Euler scheme combined with an internal approximation.
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