Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field
Very weak solutions of wave equation for Landau Hamiltonian with irregular electromagnetic field
In this paper, we study the Cauchy problem for the Landau Hamiltonian wave equation, with time-dependent irregular (distributional) electromagnetic field and similarly irregular velocity. For such equations, we describe the notion of a 'very weak solution' adapted to the type of solutions that exist for regular coefficients. The construction is …