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<resource xmlns:xsi='http://www.w3.org/2001/XMLSchema-instance' xmlns='http://datacite.org/schema/kernel-3' xsi:schemaLocation='http://datacite.org/schema/kernel-3 http://schema.datacite.org/meta/kernel-3/metadata.xsd'>
<identifier identifierType='DOI'>10.37193/CJM.2022.01.08</identifier>
<creators>
<creator>
<creatorName>Cioban, M.M.</creatorName>
<affiliation>Universitatea de Stat din Tiraspol, Moldova, Republica</affiliation>
</creator>
<creator>
<creatorName>Moroşanu, C.</creatorName>
<affiliation>Universitatea "Alexandru Ioan Cuza", Iaşi, România</affiliation>
</creator>
</creators>
<titles>
<title xml:lang='en'>Well-posedness of a nonlinear second-order anisotropic reaction-diffusion problem with nonlinear and inhomogeneous dynamic boundary conditions</title>
</titles>
<publisher>Instrumentul Bibliometric National</publisher>
<publicationYear>2022</publicationYear>
<relatedIdentifier relatedIdentifierType='ISSN' relationType='IsPartOf'>1584-2851</relatedIdentifier>
<subjects>
<subject>Leray-Schauder principle</subject>
<subject>Nonlinear inhomogeneous dynamic boundary conditions</subject>
<subject>Nonlinear second-order anisotropic reaction-diffusion prblem</subject>
<subject>Qualitative properties of solutions</subject>
</subjects>
<dates>
<date dateType='Issued'>2022-03-10</date>
</dates>
<resourceType resourceTypeGeneral='Text'>Journal article</resourceType>
<descriptions>
<description xml:lang='en' descriptionType='Abstract'><p>The paper is concerned with a qualitative analysis for a nonlinear second-order boundary value problem, endowed with nonlinear and inhomogeneous dynamic boundary conditions, extending the types of bounday conditions already studied. Under certain assumptions on the input data: f<sub>1</sub>&nbsp;(t, x), w(t, x) and u<sub>0</sub>(x), we prove the well-posedness (the existence, a priori estimates, regularity and uniqueness) of a classical solution in the Sobolev space Wp<sup>1,2</sup>(Q). This extends previous works concerned with nonlinear dynamic boundary conditions, allowing to the present mathematical model to better approximate the real physical phenomena (the anisotropy effects, phase change in &Omega; and at the boundary &part;&Omega;, etc.).</p></description>
</descriptions>
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<format>application/pdf</format>
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