Recent Progress on First Order Hamilton-Jacobi Equations

  title={Recent Progress on First Order Hamilton-Jacobi Equations},
  author={Pierre Louis Lions},
Publisher Summary This chapter discusses recent progress on first order Hamilton-Jacobi equations (HJ). It explains viscosity solutions and their uniqueness. The continuous function obtained by the vanishing viscosity method is viscosity solutions. The chapter concentrates on existence and uniquesness questions, ideas and results for which are taken from studies conducted by various authors. A complete self-contained treatment of HJ via viscosity solutions is given. HJ are nonlinear first-order… CONTINUE READING


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