【摘要】 考虑源于拟静态热弹性的一类半线性抛物型偏微分方程的非线性非局部边值问题，证明了局部解的存在性，比较定理，讨论了解的大时间性态；在较弱的条件下得到了极大、极小解的存在性，并给出了不适定的两个例子．更多还原

【Abstract】 This paper investigates the local existence of solutions, the maximal and the minimal solutions, the comparison principle and dynamics of a semilinear parabolic equation with nonlinear and nonlocal boundary conditions which is motivated by a model problem arising from quasistate thermoelasticity. Green’s function, the method of upper and lower solutions and the theory of increasing mapping are used.更多还原