This monograph is devoted to the global existence and the lifespan of classical solutions to the Cauchy problem with small initial data for nonlinear heat equations, nonlinear wave equations and nonlinear Schrodinger equations. The topic has been investigated using a variety of …
The precise mathematical investigation of various natural phenomena is an old and difficult problem. For the special case of self-adjoint problems in mechanics and physics, the Fourier method of approximating exact solutions by elementary solutions has been used successfully for…
The precise mathematical investigation of various natural phenomena is an old and difficult problem. For the special case of self-adjoint problems in mechanics and physics, the Fourier method of approximating exact solutions by elementary solutions has been used successfully for…
