Coated glass substrate or glass ceramic substrate with resistant multifunctional surface properties, method for production thereof, and use of thereof

A method for producing a thin glass ceramic substrate, the method comprising the following steps:

• melting raw materials during a glass producing process at a temperature higher than 1000° C. in order to create a glass melt;
• and
• in the glass melt after homogenization at a predetermined temperature after cooling, nucleation and crystallization is performed in order to produce the thin glass ceramic substrate with a homogenous structure with fine grains, wherein the thin glass ceramic substrate has a thickness that is less than 1 mm, wherein the thin glass ceramic substrate comprises at least one of a lithium aluminosilicate glass ceramic or a ceramized aluminosilicate glass and the thin glass ceramic substrate comprises 3.2-5.0 weight-% Li2O and 0.2-2.0 weight-% sum Na2O and K2O, wherein the glass ceramic contains keatite mixed crystals as the predominant crystal phase and the keatite mixed crystals have a crystal size less than 70 nm, wherein the thin glass ceramic substrate comprises greater than 0 weight-% and up to 2 weight-% SrO and/or greater than 0 weight-% and up to 2.5 weight-% ZnO.