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Method of energy estimates for the study of a behavior of weak solutions of the equation of slow diffusion with singular boundary dataThe equation of slow diffusion with singular boundary data is considered. An estimate of all weak
Biharmonic Obstacle Problem: Guaranteed and Computable Error Bounds for Approximate Solutions the exact solution (minimizer) of the corresponding variational problem and any function (approximation
APPLICATION OF THE ESTIMATION OF SOLUTIONS OF PERTURBED INCLUSION TO DIFFERENTIAL INCLUSIONSIn the article, the statement about the estimation of closeness of solutions for perturbed
Binomial probability estimates with restrictions on their d-risks guarantee solutions. Estimates with the uniformly minimal d-risk and the Bayesian estimate are constructed
Numerical Diagnostics of Solution Blow-Up in a Thermoelectric Semiconductor Model posteriori error estimate obtained by computing approximate solutions on sequentially refined grids. The blow
On the existence of a nonextendable solution of the Cauchy problem for a -dimensional thermal–electrical model is considered. For the corresponding Cauchy problem, the existence of a classical solution nonextendable in time
Moser's estimates for degenerate Kolmogorov equations with non-negative divergence lower order coefficientsWe prove Lloc ∞ estimates for positive solutions to the following degenerate second order partial
On the existence of a nonextendable solution of the Cauchy problem for a $(3+1)$-dimensional thermal–electrical model is considered. For the corresponding Cauchy problem, the existence of a classical solution nonextendable in time
NONEXISTENCE OF NONTRIVIAL WEAK SOLUTIONS OF SOME NONLINEAR INEQUALITIES WITH INTEGER POWER OF THE LAPLACIAN on sufficient conditions for the nonexistence of nontrivial weak solutions of nonlinear inequalities and systems
Nonexistence of Nontrivial Weak Solutions of Some Nonlinear Inequalities with Gradient Nonlinearity for the nonexistence of nontrivial weak solutions to nonlinear inequalities and systems with integer powers
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