How to solve under-baked cookie centers?
I agree with @Catija completely. Your oven may be running too hot. If the outside of the cookie is 'cooking' more quickly, or sooner than the middle, then your oven is too hot. Trying backing the temperature down 30-40F and see how you fair. Going to a hotter oven, would exacerbate the situation, since the outside would be crunchy and set, while the inside raw.