Czech Digital Mathematics Library (Institute of Mathematics CAS) · 1986 · 22 citations · 0 references
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Natural SciencesMathematicsDynamical SystemsBoundary ConditionsPartial Differential EquationsRegular SolutionsWeak FormulationQuasilinear TheoryRegularity TheoryWeak Boundary ConditionsWeak Form Of Partial Differential EquationsWeak Solutions
The example of the quasilinear parabolic system is given for which there exists a bounded solution of boundary value problem (with Lipschitz continuous initial and boundary data) having the discontinuity developed in some t>0.