Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

I want to solve the coupled system $$u_t = f(u,u_x,u_{xx})$$ $$v_t = g(u,u_x,u_{xx}, v, v_x, v_{xx})$$ with $f$ and $g$ such that the right hand sides are linear with respect to their arguments.

I am aware that the Ladyzenskaja book covers this, but the notation and typesetting is horrible and I don't want to use it. Can anyone recommend me a more modern book that treats this kind of PDEs?

I just want an existence/uniqueness result in Hölder spaces.

Thanks a lot.

share|improve this question
    
Did you see Henry's Geometric theory of semilinear parabolic equations? Added: there is also Abstract Parabolic Evolution Equations and their Applications, but I am not very well aware of the content of this one. –  Artem Jul 26 '12 at 16:41
    
@Artem No I didn't, I'll check them out. Thanks! –  Pink Panther Jul 27 '12 at 7:49

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Browse other questions tagged or ask your own question.